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Finding the Fourth Proportional to 10,998.90, 16,498.35 and 9,152.10

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Solution

The fourth proportional to 10,998.90, 16,498.35 and 9,152.10 is: 13,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.90 : 16,498.35 = 9,152.10 : x
  2. Step 2: Convert to fraction form
    10,998.90/16,498.35 = 9,152.10/x
  3. Step 3: Cross multiply
    10,998.90x = 16,498.35 × 9,152.10
  4. Step 4: Simplify right side
    10,998.90x = 150,994,549.04
  5. Step 5: Solve for x
    x = 150,994,549.04/10,998.90
  6. Step 6: Final answer
    x = 13,728.15

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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.