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Finding the Fourth Proportional to 15,854.87, 23,765.14 and 10,312.19

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Solution

The fourth proportional to 15,854.87, 23,765.14 and 10,312.19 is: 15,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.87 : 23,765.14 = 10,312.19 : x
  2. Step 2: Convert to fraction form
    15,854.87/23,765.14 = 10,312.19/x
  3. Step 3: Cross multiply
    15,854.87x = 23,765.14 × 10,312.19
  4. Step 4: Simplify right side
    15,854.87x = 245,070,639.06
  5. Step 5: Solve for x
    x = 245,070,639.06/15,854.87
  6. Step 6: Final answer
    x = 15,457.12

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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.