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Finding the Fourth Proportional to 15,616.23, 21,547.89 and 9,649.86

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Solution

The fourth proportional to 15,616.23, 21,547.89 and 9,649.86 is: 13,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.23 : 21,547.89 = 9,649.86 : x
  2. Step 2: Convert to fraction form
    15,616.23/21,547.89 = 9,649.86/x
  3. Step 3: Cross multiply
    15,616.23x = 21,547.89 × 9,649.86
  4. Step 4: Simplify right side
    15,616.23x = 207,934,121.80
  5. Step 5: Solve for x
    x = 207,934,121.80/15,616.23
  6. Step 6: Final answer
    x = 13,315.26

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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.