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Finding the Fourth Proportional to 21,381.41, 32,041.13 and 14,711.06

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Solution

The fourth proportional to 21,381.41, 32,041.13 and 14,711.06 is: 22,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.41 : 32,041.13 = 14,711.06 : x
  2. Step 2: Convert to fraction form
    21,381.41/32,041.13 = 14,711.06/x
  3. Step 3: Cross multiply
    21,381.41x = 32,041.13 × 14,711.06
  4. Step 4: Simplify right side
    21,381.41x = 471,358,752.14
  5. Step 5: Solve for x
    x = 471,358,752.14/21,381.41
  6. Step 6: Final answer
    x = 22,045.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.