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Finding the Fourth Proportional to 15,411.25, 23,118.70 and 5,023

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Solution

The fourth proportional to 15,411.25, 23,118.70 and 5,023 is: 7,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.25 : 23,118.70 = 5,023 : x
  2. Step 2: Convert to fraction form
    15,411.25/23,118.70 = 5,023/x
  3. Step 3: Cross multiply
    15,411.25x = 23,118.70 × 5,023
  4. Step 4: Simplify right side
    15,411.25x = 116,125,230.10
  5. Step 5: Solve for x
    x = 116,125,230.10/15,411.25
  6. Step 6: Final answer
    x = 7,535.09

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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.