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Finding the Fourth Proportional to 15,722.61, 21,706.16 and 10,424.59

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Solution

The fourth proportional to 15,722.61, 21,706.16 and 10,424.59 is: 14,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.61 : 21,706.16 = 10,424.59 : x
  2. Step 2: Convert to fraction form
    15,722.61/21,706.16 = 10,424.59/x
  3. Step 3: Cross multiply
    15,722.61x = 21,706.16 × 10,424.59
  4. Step 4: Simplify right side
    15,722.61x = 226,277,818.47
  5. Step 5: Solve for x
    x = 226,277,818.47/15,722.61
  6. Step 6: Final answer
    x = 14,391.87

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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.