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Finding the Fourth Proportional to 12,420.84, 17,148.06 and 7,707.72

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Solution

The fourth proportional to 12,420.84, 17,148.06 and 7,707.72 is: 10,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.84 : 17,148.06 = 7,707.72 : x
  2. Step 2: Convert to fraction form
    12,420.84/17,148.06 = 7,707.72/x
  3. Step 3: Cross multiply
    12,420.84x = 17,148.06 × 7,707.72
  4. Step 4: Simplify right side
    12,420.84x = 132,172,445.02
  5. Step 5: Solve for x
    x = 132,172,445.02/12,420.84
  6. Step 6: Final answer
    x = 10,641.18

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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.