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Finding the Fourth Proportional to 16,211.57, 22,368.15 and 9,838.01

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Solution

The fourth proportional to 16,211.57, 22,368.15 and 9,838.01 is: 13,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.57 : 22,368.15 = 9,838.01 : x
  2. Step 2: Convert to fraction form
    16,211.57/22,368.15 = 9,838.01/x
  3. Step 3: Cross multiply
    16,211.57x = 22,368.15 × 9,838.01
  4. Step 4: Simplify right side
    16,211.57x = 220,058,139.30
  5. Step 5: Solve for x
    x = 220,058,139.30/16,211.57
  6. Step 6: Final answer
    x = 13,574.15

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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.