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Finding the Fourth Proportional to 22,616.21, 31,212.28 and 12,547.89

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Solution

The fourth proportional to 22,616.21, 31,212.28 and 12,547.89 is: 17,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.21 : 31,212.28 = 12,547.89 : x
  2. Step 2: Convert to fraction form
    22,616.21/31,212.28 = 12,547.89/x
  3. Step 3: Cross multiply
    22,616.21x = 31,212.28 × 12,547.89
  4. Step 4: Simplify right side
    22,616.21x = 391,648,256.09
  5. Step 5: Solve for x
    x = 391,648,256.09/22,616.21
  6. Step 6: Final answer
    x = 17,317.15

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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.