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Finding the Fourth Proportional to 23,185.04, 31,978.95 and 14,237.47

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Solution

The fourth proportional to 23,185.04, 31,978.95 and 14,237.47 is: 19,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.04 : 31,978.95 = 14,237.47 : x
  2. Step 2: Convert to fraction form
    23,185.04/31,978.95 = 14,237.47/x
  3. Step 3: Cross multiply
    23,185.04x = 31,978.95 × 14,237.47
  4. Step 4: Simplify right side
    23,185.04x = 455,299,407.93
  5. Step 5: Solve for x
    x = 455,299,407.93/23,185.04
  6. Step 6: Final answer
    x = 19,637.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.