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Finding the Fourth Proportional to 15,527.60, 21,428.52 and 8,812.40

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Solution

The fourth proportional to 15,527.60, 21,428.52 and 8,812.40 is: 12,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.60 : 21,428.52 = 8,812.40 : x
  2. Step 2: Convert to fraction form
    15,527.60/21,428.52 = 8,812.40/x
  3. Step 3: Cross multiply
    15,527.60x = 21,428.52 × 8,812.40
  4. Step 4: Simplify right side
    15,527.60x = 188,836,689.65
  5. Step 5: Solve for x
    x = 188,836,689.65/15,527.60
  6. Step 6: Final answer
    x = 12,161.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.