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Finding the Fourth Proportional to 12,037.61, 16,577.25 and 9,922.30

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Solution

The fourth proportional to 12,037.61, 16,577.25 and 9,922.30 is: 13,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.61 : 16,577.25 = 9,922.30 : x
  2. Step 2: Convert to fraction form
    12,037.61/16,577.25 = 9,922.30/x
  3. Step 3: Cross multiply
    12,037.61x = 16,577.25 × 9,922.30
  4. Step 4: Simplify right side
    12,037.61x = 164,484,364.79
  5. Step 5: Solve for x
    x = 164,484,364.79/12,037.61
  6. Step 6: Final answer
    x = 13,664.20

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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.