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Finding the Fourth Proportional to 16,338.65, 22,547.34 and 9,265.10

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Solution

The fourth proportional to 16,338.65, 22,547.34 and 9,265.10 is: 12,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.65 : 22,547.34 = 9,265.10 : x
  2. Step 2: Convert to fraction form
    16,338.65/22,547.34 = 9,265.10/x
  3. Step 3: Cross multiply
    16,338.65x = 22,547.34 × 9,265.10
  4. Step 4: Simplify right side
    16,338.65x = 208,903,247.10
  5. Step 5: Solve for x
    x = 208,903,247.10/16,338.65
  6. Step 6: Final answer
    x = 12,785.84

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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.