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Finding the Fourth Proportional to 15,763.20, 23,622.54 and 8,746.32

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Solution

The fourth proportional to 15,763.20, 23,622.54 and 8,746.32 is: 13,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.20 : 23,622.54 = 8,746.32 : x
  2. Step 2: Convert to fraction form
    15,763.20/23,622.54 = 8,746.32/x
  3. Step 3: Cross multiply
    15,763.20x = 23,622.54 × 8,746.32
  4. Step 4: Simplify right side
    15,763.20x = 206,610,294.05
  5. Step 5: Solve for x
    x = 206,610,294.05/15,763.20
  6. Step 6: Final answer
    x = 13,107.13

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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.