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Finding the Fourth Proportional to 15,535.92, 21,438.90 and 8,462.40

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Solution

The fourth proportional to 15,535.92, 21,438.90 and 8,462.40 is: 11,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.92 : 21,438.90 = 8,462.40 : x
  2. Step 2: Convert to fraction form
    15,535.92/21,438.90 = 8,462.40/x
  3. Step 3: Cross multiply
    15,535.92x = 21,438.90 × 8,462.40
  4. Step 4: Simplify right side
    15,535.92x = 181,424,547.36
  5. Step 5: Solve for x
    x = 181,424,547.36/15,535.92
  6. Step 6: Final answer
    x = 11,677.75

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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.