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Finding the Fourth Proportional to 10,152.84, 14,010.66 and 9,854.76

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Solution

The fourth proportional to 10,152.84, 14,010.66 and 9,854.76 is: 13,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.84 : 14,010.66 = 9,854.76 : x
  2. Step 2: Convert to fraction form
    10,152.84/14,010.66 = 9,854.76/x
  3. Step 3: Cross multiply
    10,152.84x = 14,010.66 × 9,854.76
  4. Step 4: Simplify right side
    10,152.84x = 138,071,691.74
  5. Step 5: Solve for x
    x = 138,071,691.74/10,152.84
  6. Step 6: Final answer
    x = 13,599.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.