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Finding the Fourth Proportional to 15,700.24, 23,554 and 4,607.12

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Solution

The fourth proportional to 15,700.24, 23,554 and 4,607.12 is: 6,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.24 : 23,554 = 4,607.12 : x
  2. Step 2: Convert to fraction form
    15,700.24/23,554 = 4,607.12/x
  3. Step 3: Cross multiply
    15,700.24x = 23,554 × 4,607.12
  4. Step 4: Simplify right side
    15,700.24x = 108,516,104.48
  5. Step 5: Solve for x
    x = 108,516,104.48/15,700.24
  6. Step 6: Final answer
    x = 6,911.75

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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.