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Finding the Fourth Proportional to 22,903.42, 34,419.66 and 13,547.83

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Solution

The fourth proportional to 22,903.42, 34,419.66 and 13,547.83 is: 20,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.42 : 34,419.66 = 13,547.83 : x
  2. Step 2: Convert to fraction form
    22,903.42/34,419.66 = 13,547.83/x
  3. Step 3: Cross multiply
    22,903.42x = 34,419.66 × 13,547.83
  4. Step 4: Simplify right side
    22,903.42x = 466,311,702.34
  5. Step 5: Solve for x
    x = 466,311,702.34/22,903.42
  6. Step 6: Final answer
    x = 20,359.92

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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.