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Finding the Fourth Proportional to 15,432.50, 23,117.78 and 7,100.90

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Solution

The fourth proportional to 15,432.50, 23,117.78 and 7,100.90 is: 10,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432.50 : 23,117.78 = 7,100.90 : x
  2. Step 2: Convert to fraction form
    15,432.50/23,117.78 = 7,100.90/x
  3. Step 3: Cross multiply
    15,432.50x = 23,117.78 × 7,100.90
  4. Step 4: Simplify right side
    15,432.50x = 164,157,044.00
  5. Step 5: Solve for x
    x = 164,157,044.00/15,432.50
  6. Step 6: Final answer
    x = 10,637.10

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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.