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Finding the Fourth Proportional to 24,666.24, 34,039.68 and 13,488

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Solution

The fourth proportional to 24,666.24, 34,039.68 and 13,488 is: 18,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.24 : 34,039.68 = 13,488 : x
  2. Step 2: Convert to fraction form
    24,666.24/34,039.68 = 13,488/x
  3. Step 3: Cross multiply
    24,666.24x = 34,039.68 × 13,488
  4. Step 4: Simplify right side
    24,666.24x = 459,127,203.84
  5. Step 5: Solve for x
    x = 459,127,203.84/24,666.24
  6. Step 6: Final answer
    x = 18,613.59

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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.