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Finding the Fourth Proportional to 15,352.71, 23,040 and 6,590.13

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Solution

The fourth proportional to 15,352.71, 23,040 and 6,590.13 is: 9,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352.71 : 23,040 = 6,590.13 : x
  2. Step 2: Convert to fraction form
    15,352.71/23,040 = 6,590.13/x
  3. Step 3: Cross multiply
    15,352.71x = 23,040 × 6,590.13
  4. Step 4: Simplify right side
    15,352.71x = 151,836,595.20
  5. Step 5: Solve for x
    x = 151,836,595.20/15,352.71
  6. Step 6: Final answer
    x = 9,889.89

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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.