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Finding the Fourth Proportional to 16,024, 22,094.16 and 10,990.72

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Solution

The fourth proportional to 16,024, 22,094.16 and 10,990.72 is: 15,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 22,094.16 = 10,990.72 : x
  2. Step 2: Convert to fraction form
    16,024/22,094.16 = 10,990.72/x
  3. Step 3: Cross multiply
    16,024x = 22,094.16 × 10,990.72
  4. Step 4: Simplify right side
    16,024x = 242,830,726.20
  5. Step 5: Solve for x
    x = 242,830,726.20/16,024
  6. Step 6: Final answer
    x = 15,154.19

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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.