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Finding the Fourth Proportional to 24,315, 36,486.84 and 10,274.11

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Solution

The fourth proportional to 24,315, 36,486.84 and 10,274.11 is: 15,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 36,486.84 = 10,274.11 : x
  2. Step 2: Convert to fraction form
    24,315/36,486.84 = 10,274.11/x
  3. Step 3: Cross multiply
    24,315x = 36,486.84 × 10,274.11
  4. Step 4: Simplify right side
    24,315x = 374,869,807.71
  5. Step 5: Solve for x
    x = 374,869,807.71/24,315
  6. Step 6: Final answer
    x = 15,417.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.