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Finding the Fourth Proportional to 13,685.60, 18,886.09 and 7,397.98

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Solution

The fourth proportional to 13,685.60, 18,886.09 and 7,397.98 is: 10,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.60 : 18,886.09 = 7,397.98 : x
  2. Step 2: Convert to fraction form
    13,685.60/18,886.09 = 7,397.98/x
  3. Step 3: Cross multiply
    13,685.60x = 18,886.09 × 7,397.98
  4. Step 4: Simplify right side
    13,685.60x = 139,718,916.10
  5. Step 5: Solve for x
    x = 139,718,916.10/13,685.60
  6. Step 6: Final answer
    x = 10,209.19

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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.