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Finding the Fourth Proportional to 16,139.66, 22,272.98 and 9,852.03

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Solution

The fourth proportional to 16,139.66, 22,272.98 and 9,852.03 is: 13,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.66 : 22,272.98 = 9,852.03 : x
  2. Step 2: Convert to fraction form
    16,139.66/22,272.98 = 9,852.03/x
  3. Step 3: Cross multiply
    16,139.66x = 22,272.98 × 9,852.03
  4. Step 4: Simplify right side
    16,139.66x = 219,434,017.89
  5. Step 5: Solve for x
    x = 219,434,017.89/16,139.66
  6. Step 6: Final answer
    x = 13,595.95

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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.