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Finding the Fourth Proportional to 14,724.01, 22,089.66 and 6,931

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Solution

The fourth proportional to 14,724.01, 22,089.66 and 6,931 is: 10,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724.01 : 22,089.66 = 6,931 : x
  2. Step 2: Convert to fraction form
    14,724.01/22,089.66 = 6,931/x
  3. Step 3: Cross multiply
    14,724.01x = 22,089.66 × 6,931
  4. Step 4: Simplify right side
    14,724.01x = 153,103,433.46
  5. Step 5: Solve for x
    x = 153,103,433.46/14,724.01
  6. Step 6: Final answer
    x = 10,398.22

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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.