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Finding the Fourth Proportional to 12,347.06, 17,038.90 and 6,681.83

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Solution

The fourth proportional to 12,347.06, 17,038.90 and 6,681.83 is: 9,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.06 : 17,038.90 = 6,681.83 : x
  2. Step 2: Convert to fraction form
    12,347.06/17,038.90 = 6,681.83/x
  3. Step 3: Cross multiply
    12,347.06x = 17,038.90 × 6,681.83
  4. Step 4: Simplify right side
    12,347.06x = 113,851,033.19
  5. Step 5: Solve for x
    x = 113,851,033.19/12,347.06
  6. Step 6: Final answer
    x = 9,220.90

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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.