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Finding the Fourth Proportional to 21,411.76, 32,062.27 and 14,768.74

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Solution

The fourth proportional to 21,411.76, 32,062.27 and 14,768.74 is: 22,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.76 : 32,062.27 = 14,768.74 : x
  2. Step 2: Convert to fraction form
    21,411.76/32,062.27 = 14,768.74/x
  3. Step 3: Cross multiply
    21,411.76x = 32,062.27 × 14,768.74
  4. Step 4: Simplify right side
    21,411.76x = 473,519,478.06
  5. Step 5: Solve for x
    x = 473,519,478.06/21,411.76
  6. Step 6: Final answer
    x = 22,114.93

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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.