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Finding the Fourth Proportional to 24,652.69, 34,020.71 and 14,048.47

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Solution

The fourth proportional to 24,652.69, 34,020.71 and 14,048.47 is: 19,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.69 : 34,020.71 = 14,048.47 : x
  2. Step 2: Convert to fraction form
    24,652.69/34,020.71 = 14,048.47/x
  3. Step 3: Cross multiply
    24,652.69x = 34,020.71 × 14,048.47
  4. Step 4: Simplify right side
    24,652.69x = 477,938,948.78
  5. Step 5: Solve for x
    x = 477,938,948.78/24,652.69
  6. Step 6: Final answer
    x = 19,386.89

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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.