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Finding the Fourth Proportional to 11,543.32, 15,931.84 and 11,017.42

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Solution

The fourth proportional to 11,543.32, 15,931.84 and 11,017.42 is: 15,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.32 : 15,931.84 = 11,017.42 : x
  2. Step 2: Convert to fraction form
    11,543.32/15,931.84 = 11,017.42/x
  3. Step 3: Cross multiply
    11,543.32x = 15,931.84 × 11,017.42
  4. Step 4: Simplify right side
    11,543.32x = 175,527,772.65
  5. Step 5: Solve for x
    x = 175,527,772.65/11,543.32
  6. Step 6: Final answer
    x = 15,206.00

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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.