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Finding the Fourth Proportional to 16,303.67, 22,500.14 and 9,134.16

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Solution

The fourth proportional to 16,303.67, 22,500.14 and 9,134.16 is: 12,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.67 : 22,500.14 = 9,134.16 : x
  2. Step 2: Convert to fraction form
    16,303.67/22,500.14 = 9,134.16/x
  3. Step 3: Cross multiply
    16,303.67x = 22,500.14 × 9,134.16
  4. Step 4: Simplify right side
    16,303.67x = 205,519,878.78
  5. Step 5: Solve for x
    x = 205,519,878.78/16,303.67
  6. Step 6: Final answer
    x = 12,605.74

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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.