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Finding the Fourth Proportional to 28,158.10, 42,246.54 and 9,440

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Solution

The fourth proportional to 28,158.10, 42,246.54 and 9,440 is: 14,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,158.10 : 42,246.54 = 9,440 : x
  2. Step 2: Convert to fraction form
    28,158.10/42,246.54 = 9,440/x
  3. Step 3: Cross multiply
    28,158.10x = 42,246.54 × 9,440
  4. Step 4: Simplify right side
    28,158.10x = 398,807,337.60
  5. Step 5: Solve for x
    x = 398,807,337.60/28,158.10
  6. Step 6: Final answer
    x = 14,163.15

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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.