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Finding the Fourth Proportional to 16,386.30, 22,613.01 and 9,314.09

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Solution

The fourth proportional to 16,386.30, 22,613.01 and 9,314.09 is: 12,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.30 : 22,613.01 = 9,314.09 : x
  2. Step 2: Convert to fraction form
    16,386.30/22,613.01 = 9,314.09/x
  3. Step 3: Cross multiply
    16,386.30x = 22,613.01 × 9,314.09
  4. Step 4: Simplify right side
    16,386.30x = 210,619,547.12
  5. Step 5: Solve for x
    x = 210,619,547.12/16,386.30
  6. Step 6: Final answer
    x = 12,853.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.