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Finding the Fourth Proportional to 11,036.76, 16,535.88 and 9,199.68

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Solution

The fourth proportional to 11,036.76, 16,535.88 and 9,199.68 is: 13,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.76 : 16,535.88 = 9,199.68 : x
  2. Step 2: Convert to fraction form
    11,036.76/16,535.88 = 9,199.68/x
  3. Step 3: Cross multiply
    11,036.76x = 16,535.88 × 9,199.68
  4. Step 4: Simplify right side
    11,036.76x = 152,124,804.52
  5. Step 5: Solve for x
    x = 152,124,804.52/11,036.76
  6. Step 6: Final answer
    x = 13,783.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.