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Finding the Fourth Proportional to 14,116.80, 19,490.37 and 9,638.92

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Solution

The fourth proportional to 14,116.80, 19,490.37 and 9,638.92 is: 13,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.80 : 19,490.37 = 9,638.92 : x
  2. Step 2: Convert to fraction form
    14,116.80/19,490.37 = 9,638.92/x
  3. Step 3: Cross multiply
    14,116.80x = 19,490.37 × 9,638.92
  4. Step 4: Simplify right side
    14,116.80x = 187,866,117.20
  5. Step 5: Solve for x
    x = 187,866,117.20/14,116.80
  6. Step 6: Final answer
    x = 13,307.98

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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.