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Finding the Fourth Proportional to 24,655.22, 36,984.72 and 7,125.20

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Solution

The fourth proportional to 24,655.22, 36,984.72 and 7,125.20 is: 10,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.22 : 36,984.72 = 7,125.20 : x
  2. Step 2: Convert to fraction form
    24,655.22/36,984.72 = 7,125.20/x
  3. Step 3: Cross multiply
    24,655.22x = 36,984.72 × 7,125.20
  4. Step 4: Simplify right side
    24,655.22x = 263,523,526.94
  5. Step 5: Solve for x
    x = 263,523,526.94/24,655.22
  6. Step 6: Final answer
    x = 10,688.35

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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.