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Finding the Fourth Proportional to 12,009.60, 16,580.88 and 7,535.52

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Solution

The fourth proportional to 12,009.60, 16,580.88 and 7,535.52 is: 10,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.60 : 16,580.88 = 7,535.52 : x
  2. Step 2: Convert to fraction form
    12,009.60/16,580.88 = 7,535.52/x
  3. Step 3: Cross multiply
    12,009.60x = 16,580.88 × 7,535.52
  4. Step 4: Simplify right side
    12,009.60x = 124,945,552.86
  5. Step 5: Solve for x
    x = 124,945,552.86/12,009.60
  6. Step 6: Final answer
    x = 10,403.81

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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.