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Finding the Fourth Proportional to 12,102, 18,248.10 and 9,821.04

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Solution

The fourth proportional to 12,102, 18,248.10 and 9,821.04 is: 14,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 18,248.10 = 9,821.04 : x
  2. Step 2: Convert to fraction form
    12,102/18,248.10 = 9,821.04/x
  3. Step 3: Cross multiply
    12,102x = 18,248.10 × 9,821.04
  4. Step 4: Simplify right side
    12,102x = 179,215,320.02
  5. Step 5: Solve for x
    x = 179,215,320.02/12,102
  6. Step 6: Final answer
    x = 14,808.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.