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Finding the Fourth Proportional to 10,230.15, 15,328.82 and 9,246.00

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Solution

The fourth proportional to 10,230.15, 15,328.82 and 9,246.00 is: 13,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.15 : 15,328.82 = 9,246.00 : x
  2. Step 2: Convert to fraction form
    10,230.15/15,328.82 = 9,246.00/x
  3. Step 3: Cross multiply
    10,230.15x = 15,328.82 × 9,246.00
  4. Step 4: Simplify right side
    10,230.15x = 141,730,238.09
  5. Step 5: Solve for x
    x = 141,730,238.09/10,230.15
  6. Step 6: Final answer
    x = 13,854.17

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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.