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Finding the Fourth Proportional to 24,369.72, 33,627.72 and 14,159.16

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Solution

The fourth proportional to 24,369.72, 33,627.72 and 14,159.16 is: 19,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.72 : 33,627.72 = 14,159.16 : x
  2. Step 2: Convert to fraction form
    24,369.72/33,627.72 = 14,159.16/x
  3. Step 3: Cross multiply
    24,369.72x = 33,627.72 × 14,159.16
  4. Step 4: Simplify right side
    24,369.72x = 476,140,267.92
  5. Step 5: Solve for x
    x = 476,140,267.92/24,369.72
  6. Step 6: Final answer
    x = 19,538.19

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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.