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Finding the Fourth Proportional to 13,421.95, 20,140.16 and 7,886.10

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Solution

The fourth proportional to 13,421.95, 20,140.16 and 7,886.10 is: 11,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.95 : 20,140.16 = 7,886.10 : x
  2. Step 2: Convert to fraction form
    13,421.95/20,140.16 = 7,886.10/x
  3. Step 3: Cross multiply
    13,421.95x = 20,140.16 × 7,886.10
  4. Step 4: Simplify right side
    13,421.95x = 158,827,276.35
  5. Step 5: Solve for x
    x = 158,827,276.35/13,421.95
  6. Step 6: Final answer
    x = 11,833.40

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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.