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Finding the Fourth Proportional to 13,675.04, 18,870.16 and 7,707.64

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Solution

The fourth proportional to 13,675.04, 18,870.16 and 7,707.64 is: 10,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.04 : 18,870.16 = 7,707.64 : x
  2. Step 2: Convert to fraction form
    13,675.04/18,870.16 = 7,707.64/x
  3. Step 3: Cross multiply
    13,675.04x = 18,870.16 × 7,707.64
  4. Step 4: Simplify right side
    13,675.04x = 145,444,400.02
  5. Step 5: Solve for x
    x = 145,444,400.02/13,675.04
  6. Step 6: Final answer
    x = 10,635.76

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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.