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Finding the Fourth Proportional to 15,607.86, 23,422.74 and 9,025

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Solution

The fourth proportional to 15,607.86, 23,422.74 and 9,025 is: 13,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.86 : 23,422.74 = 9,025 : x
  2. Step 2: Convert to fraction form
    15,607.86/23,422.74 = 9,025/x
  3. Step 3: Cross multiply
    15,607.86x = 23,422.74 × 9,025
  4. Step 4: Simplify right side
    15,607.86x = 211,390,228.50
  5. Step 5: Solve for x
    x = 211,390,228.50/15,607.86
  6. Step 6: Final answer
    x = 13,543.83

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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.