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Finding the Fourth Proportional to 15,752.30, 23,628.45 and 12,982.10

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Solution

The fourth proportional to 15,752.30, 23,628.45 and 12,982.10 is: 19,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.30 : 23,628.45 = 12,982.10 : x
  2. Step 2: Convert to fraction form
    15,752.30/23,628.45 = 12,982.10/x
  3. Step 3: Cross multiply
    15,752.30x = 23,628.45 × 12,982.10
  4. Step 4: Simplify right side
    15,752.30x = 306,746,900.75
  5. Step 5: Solve for x
    x = 306,746,900.75/15,752.30
  6. Step 6: Final answer
    x = 19,473.15

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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.