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Finding the Fourth Proportional to 12,009.68, 16,557.95 and 9,848.27

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Solution

The fourth proportional to 12,009.68, 16,557.95 and 9,848.27 is: 13,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.68 : 16,557.95 = 9,848.27 : x
  2. Step 2: Convert to fraction form
    12,009.68/16,557.95 = 9,848.27/x
  3. Step 3: Cross multiply
    12,009.68x = 16,557.95 × 9,848.27
  4. Step 4: Simplify right side
    12,009.68x = 163,067,162.25
  5. Step 5: Solve for x
    x = 163,067,162.25/12,009.68
  6. Step 6: Final answer
    x = 13,577.98

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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.