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Finding the Fourth Proportional to 22,638.29, 33,965.53 and 11,547.77

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Solution

The fourth proportional to 22,638.29, 33,965.53 and 11,547.77 is: 17,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.29 : 33,965.53 = 11,547.77 : x
  2. Step 2: Convert to fraction form
    22,638.29/33,965.53 = 11,547.77/x
  3. Step 3: Cross multiply
    22,638.29x = 33,965.53 × 11,547.77
  4. Step 4: Simplify right side
    22,638.29x = 392,225,929.67
  5. Step 5: Solve for x
    x = 392,225,929.67/22,638.29
  6. Step 6: Final answer
    x = 17,325.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.