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Finding the Fourth Proportional to 14,602.10, 20,159.82 and 9,502.47

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Solution

The fourth proportional to 14,602.10, 20,159.82 and 9,502.47 is: 13,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.10 : 20,159.82 = 9,502.47 : x
  2. Step 2: Convert to fraction form
    14,602.10/20,159.82 = 9,502.47/x
  3. Step 3: Cross multiply
    14,602.10x = 20,159.82 × 9,502.47
  4. Step 4: Simplify right side
    14,602.10x = 191,568,084.76
  5. Step 5: Solve for x
    x = 191,568,084.76/14,602.10
  6. Step 6: Final answer
    x = 13,119.22

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