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Finding the Fourth Proportional to 13,686.16, 18,886.90 and 7,398.54

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Solution

The fourth proportional to 13,686.16, 18,886.90 and 7,398.54 is: 10,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.16 : 18,886.90 = 7,398.54 : x
  2. Step 2: Convert to fraction form
    13,686.16/18,886.90 = 7,398.54/x
  3. Step 3: Cross multiply
    13,686.16x = 18,886.90 × 7,398.54
  4. Step 4: Simplify right side
    13,686.16x = 139,735,485.13
  5. Step 5: Solve for x
    x = 139,735,485.13/13,686.16
  6. Step 6: Final answer
    x = 10,209.98

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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.