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Finding the Fourth Proportional to 24,870.09, 37,291.49 and 9,862

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Solution

The fourth proportional to 24,870.09, 37,291.49 and 9,862 is: 14,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.09 : 37,291.49 = 9,862 : x
  2. Step 2: Convert to fraction form
    24,870.09/37,291.49 = 9,862/x
  3. Step 3: Cross multiply
    24,870.09x = 37,291.49 × 9,862
  4. Step 4: Simplify right side
    24,870.09x = 367,768,674.38
  5. Step 5: Solve for x
    x = 367,768,674.38/24,870.09
  6. Step 6: Final answer
    x = 14,787.59

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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.