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Finding the Fourth Proportional to 21,488.92, 29,641.16 and 14,316.57

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Solution

The fourth proportional to 21,488.92, 29,641.16 and 14,316.57 is: 19,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.92 : 29,641.16 = 14,316.57 : x
  2. Step 2: Convert to fraction form
    21,488.92/29,641.16 = 14,316.57/x
  3. Step 3: Cross multiply
    21,488.92x = 29,641.16 × 14,316.57
  4. Step 4: Simplify right side
    21,488.92x = 424,359,777.81
  5. Step 5: Solve for x
    x = 424,359,777.81/21,488.92
  6. Step 6: Final answer
    x = 19,747.84

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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.