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Finding the Fourth Proportional to 16,988.50, 23,443.76 and 9,434.41

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Solution

The fourth proportional to 16,988.50, 23,443.76 and 9,434.41 is: 13,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988.50 : 23,443.76 = 9,434.41 : x
  2. Step 2: Convert to fraction form
    16,988.50/23,443.76 = 9,434.41/x
  3. Step 3: Cross multiply
    16,988.50x = 23,443.76 × 9,434.41
  4. Step 4: Simplify right side
    16,988.50x = 221,178,008.76
  5. Step 5: Solve for x
    x = 221,178,008.76/16,988.50
  6. Step 6: Final answer
    x = 13,019.28

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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.