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Finding the Fourth Proportional to 12,466.29, 18,710.20 and 6,547.34

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Solution

The fourth proportional to 12,466.29, 18,710.20 and 6,547.34 is: 9,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.29 : 18,710.20 = 6,547.34 : x
  2. Step 2: Convert to fraction form
    12,466.29/18,710.20 = 6,547.34/x
  3. Step 3: Cross multiply
    12,466.29x = 18,710.20 × 6,547.34
  4. Step 4: Simplify right side
    12,466.29x = 122,502,040.87
  5. Step 5: Solve for x
    x = 122,502,040.87/12,466.29
  6. Step 6: Final answer
    x = 9,826.66

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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.