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Finding the Fourth Proportional to 21,607.74, 32,407.47 and 9,123.66

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Solution

The fourth proportional to 21,607.74, 32,407.47 and 9,123.66 is: 13,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.74 : 32,407.47 = 9,123.66 : x
  2. Step 2: Convert to fraction form
    21,607.74/32,407.47 = 9,123.66/x
  3. Step 3: Cross multiply
    21,607.74x = 32,407.47 × 9,123.66
  4. Step 4: Simplify right side
    21,607.74x = 295,674,737.74
  5. Step 5: Solve for x
    x = 295,674,737.74/21,607.74
  6. Step 6: Final answer
    x = 13,683.74

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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.