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Finding the Fourth Proportional to 10,228, 15,252.48 and 10,134.58

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Solution

The fourth proportional to 10,228, 15,252.48 and 10,134.58 is: 15,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 15,252.48 = 10,134.58 : x
  2. Step 2: Convert to fraction form
    10,228/15,252.48 = 10,134.58/x
  3. Step 3: Cross multiply
    10,228x = 15,252.48 × 10,134.58
  4. Step 4: Simplify right side
    10,228x = 154,577,478.76
  5. Step 5: Solve for x
    x = 154,577,478.76/10,228
  6. Step 6: Final answer
    x = 15,113.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.