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Finding the Fourth Proportional to 15,875.40, 23,813.10 and 8,002.20

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Solution

The fourth proportional to 15,875.40, 23,813.10 and 8,002.20 is: 12,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.40 : 23,813.10 = 8,002.20 : x
  2. Step 2: Convert to fraction form
    15,875.40/23,813.10 = 8,002.20/x
  3. Step 3: Cross multiply
    15,875.40x = 23,813.10 × 8,002.20
  4. Step 4: Simplify right side
    15,875.40x = 190,557,188.82
  5. Step 5: Solve for x
    x = 190,557,188.82/15,875.40
  6. Step 6: Final answer
    x = 12,003.30

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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.