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Finding the Fourth Proportional to 12,547.78, 18,821.69 and 4,233.63

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Solution

The fourth proportional to 12,547.78, 18,821.69 and 4,233.63 is: 6,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.78 : 18,821.69 = 4,233.63 : x
  2. Step 2: Convert to fraction form
    12,547.78/18,821.69 = 4,233.63/x
  3. Step 3: Cross multiply
    12,547.78x = 18,821.69 × 4,233.63
  4. Step 4: Simplify right side
    12,547.78x = 79,683,956.16
  5. Step 5: Solve for x
    x = 79,683,956.16/12,547.78
  6. Step 6: Final answer
    x = 6,350.45

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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.