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Finding the Fourth Proportional to 24,156.40, 36,222.12 and 7,511.92

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Solution

The fourth proportional to 24,156.40, 36,222.12 and 7,511.92 is: 11,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156.40 : 36,222.12 = 7,511.92 : x
  2. Step 2: Convert to fraction form
    24,156.40/36,222.12 = 7,511.92/x
  3. Step 3: Cross multiply
    24,156.40x = 36,222.12 × 7,511.92
  4. Step 4: Simplify right side
    24,156.40x = 272,097,667.67
  5. Step 5: Solve for x
    x = 272,097,667.67/24,156.40
  6. Step 6: Final answer
    x = 11,264.00

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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.