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Finding the Fourth Proportional to 23,875.38, 35,813.40 and 6,345.12

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Solution

The fourth proportional to 23,875.38, 35,813.40 and 6,345.12 is: 9,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.38 : 35,813.40 = 6,345.12 : x
  2. Step 2: Convert to fraction form
    23,875.38/35,813.40 = 6,345.12/x
  3. Step 3: Cross multiply
    23,875.38x = 35,813.40 × 6,345.12
  4. Step 4: Simplify right side
    23,875.38x = 227,240,320.61
  5. Step 5: Solve for x
    x = 227,240,320.61/23,875.38
  6. Step 6: Final answer
    x = 9,517.77

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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.