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Finding the Fourth Proportional to 24,871.80, 37,307.82 and 7,102.38

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Solution

The fourth proportional to 24,871.80, 37,307.82 and 7,102.38 is: 10,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.80 : 37,307.82 = 7,102.38 : x
  2. Step 2: Convert to fraction form
    24,871.80/37,307.82 = 7,102.38/x
  3. Step 3: Cross multiply
    24,871.80x = 37,307.82 × 7,102.38
  4. Step 4: Simplify right side
    24,871.80x = 264,974,314.61
  5. Step 5: Solve for x
    x = 264,974,314.61/24,871.80
  6. Step 6: Final answer
    x = 10,653.60

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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.