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Finding the Fourth Proportional to 39,870.08, 59,806.16 and 12,168

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Solution

The fourth proportional to 39,870.08, 59,806.16 and 12,168 is: 18,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.08 : 59,806.16 = 12,168 : x
  2. Step 2: Convert to fraction form
    39,870.08/59,806.16 = 12,168/x
  3. Step 3: Cross multiply
    39,870.08x = 59,806.16 × 12,168
  4. Step 4: Simplify right side
    39,870.08x = 727,721,354.88
  5. Step 5: Solve for x
    x = 727,721,354.88/39,870.08
  6. Step 6: Final answer
    x = 18,252.32

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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.