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Finding the Fourth Proportional to 16,190.84, 22,343.02 and 9,117.10

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Solution

The fourth proportional to 16,190.84, 22,343.02 and 9,117.10 is: 12,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.84 : 22,343.02 = 9,117.10 : x
  2. Step 2: Convert to fraction form
    16,190.84/22,343.02 = 9,117.10/x
  3. Step 3: Cross multiply
    16,190.84x = 22,343.02 × 9,117.10
  4. Step 4: Simplify right side
    16,190.84x = 203,703,547.64
  5. Step 5: Solve for x
    x = 203,703,547.64/16,190.84
  6. Step 6: Final answer
    x = 12,581.41

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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.