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Finding the Fourth Proportional to 15,710.63, 23,567.15 and 5,177.18

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Solution

The fourth proportional to 15,710.63, 23,567.15 and 5,177.18 is: 7,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.63 : 23,567.15 = 5,177.18 : x
  2. Step 2: Convert to fraction form
    15,710.63/23,567.15 = 5,177.18/x
  3. Step 3: Cross multiply
    15,710.63x = 23,567.15 × 5,177.18
  4. Step 4: Simplify right side
    15,710.63x = 122,011,449.50
  5. Step 5: Solve for x
    x = 122,011,449.50/15,710.63
  6. Step 6: Final answer
    x = 7,766.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.