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Finding the Fourth Proportional to 22,615.35, 31,211.04 and 12,547

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Solution

The fourth proportional to 22,615.35, 31,211.04 and 12,547 is: 17,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.35 : 31,211.04 = 12,547 : x
  2. Step 2: Convert to fraction form
    22,615.35/31,211.04 = 12,547/x
  3. Step 3: Cross multiply
    22,615.35x = 31,211.04 × 12,547
  4. Step 4: Simplify right side
    22,615.35x = 391,604,918.88
  5. Step 5: Solve for x
    x = 391,604,918.88/22,615.35
  6. Step 6: Final answer
    x = 17,315.89

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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.