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Finding the Fourth Proportional to 11,754.12, 17,509.02 and 11,117.50

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Solution

The fourth proportional to 11,754.12, 17,509.02 and 11,117.50 is: 16,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.12 : 17,509.02 = 11,117.50 : x
  2. Step 2: Convert to fraction form
    11,754.12/17,509.02 = 11,117.50/x
  3. Step 3: Cross multiply
    11,754.12x = 17,509.02 × 11,117.50
  4. Step 4: Simplify right side
    11,754.12x = 194,656,444.39
  5. Step 5: Solve for x
    x = 194,656,444.39/11,754.12
  6. Step 6: Final answer
    x = 16,560.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.