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Finding the Fourth Proportional to 24,655.01, 37,000.40 and 9,868.05

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Solution

The fourth proportional to 24,655.01, 37,000.40 and 9,868.05 is: 14,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.01 : 37,000.40 = 9,868.05 : x
  2. Step 2: Convert to fraction form
    24,655.01/37,000.40 = 9,868.05/x
  3. Step 3: Cross multiply
    24,655.01x = 37,000.40 × 9,868.05
  4. Step 4: Simplify right side
    24,655.01x = 365,121,747.88
  5. Step 5: Solve for x
    x = 365,121,747.88/24,655.01
  6. Step 6: Final answer
    x = 14,809.23

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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.