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Finding the Fourth Proportional to 14,447.63, 19,937.72 and 7,823.63

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Solution

The fourth proportional to 14,447.63, 19,937.72 and 7,823.63 is: 10,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.63 : 19,937.72 = 7,823.63 : x
  2. Step 2: Convert to fraction form
    14,447.63/19,937.72 = 7,823.63/x
  3. Step 3: Cross multiply
    14,447.63x = 19,937.72 × 7,823.63
  4. Step 4: Simplify right side
    14,447.63x = 155,985,264.19
  5. Step 5: Solve for x
    x = 155,985,264.19/14,447.63
  6. Step 6: Final answer
    x = 10,796.60

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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.