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Finding the Fourth Proportional to 13,407.84, 18,494.60 and 8,870.48

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Solution

The fourth proportional to 13,407.84, 18,494.60 and 8,870.48 is: 12,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.84 : 18,494.60 = 8,870.48 : x
  2. Step 2: Convert to fraction form
    13,407.84/18,494.60 = 8,870.48/x
  3. Step 3: Cross multiply
    13,407.84x = 18,494.60 × 8,870.48
  4. Step 4: Simplify right side
    13,407.84x = 164,055,979.41
  5. Step 5: Solve for x
    x = 164,055,979.41/13,407.84
  6. Step 6: Final answer
    x = 12,235.82

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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.