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Finding the Fourth Proportional to 13,425.12, 18,527 and 7,456.50

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Solution

The fourth proportional to 13,425.12, 18,527 and 7,456.50 is: 10,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.12 : 18,527 = 7,456.50 : x
  2. Step 2: Convert to fraction form
    13,425.12/18,527 = 7,456.50/x
  3. Step 3: Cross multiply
    13,425.12x = 18,527 × 7,456.50
  4. Step 4: Simplify right side
    13,425.12x = 138,146,575.50
  5. Step 5: Solve for x
    x = 138,146,575.50/13,425.12
  6. Step 6: Final answer
    x = 10,290.16

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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.