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Finding the Fourth Proportional to 14,477.07, 19,978.16 and 8,189.45

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Solution

The fourth proportional to 14,477.07, 19,978.16 and 8,189.45 is: 11,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.07 : 19,978.16 = 8,189.45 : x
  2. Step 2: Convert to fraction form
    14,477.07/19,978.16 = 8,189.45/x
  3. Step 3: Cross multiply
    14,477.07x = 19,978.16 × 8,189.45
  4. Step 4: Simplify right side
    14,477.07x = 163,610,062.99
  5. Step 5: Solve for x
    x = 163,610,062.99/14,477.07
  6. Step 6: Final answer
    x = 11,301.32

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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.