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Finding the Fourth Proportional to 22,510.71, 31,064.35 and 12,438.93

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Solution

The fourth proportional to 22,510.71, 31,064.35 and 12,438.93 is: 17,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.71 : 31,064.35 = 12,438.93 : x
  2. Step 2: Convert to fraction form
    22,510.71/31,064.35 = 12,438.93/x
  3. Step 3: Cross multiply
    22,510.71x = 31,064.35 × 12,438.93
  4. Step 4: Simplify right side
    22,510.71x = 386,407,212.95
  5. Step 5: Solve for x
    x = 386,407,212.95/22,510.71
  6. Step 6: Final answer
    x = 17,165.49

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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.