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Finding the Fourth Proportional to 13,314.98, 19,958.02 and 6,565.24

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Solution

The fourth proportional to 13,314.98, 19,958.02 and 6,565.24 is: 9,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.98 : 19,958.02 = 6,565.24 : x
  2. Step 2: Convert to fraction form
    13,314.98/19,958.02 = 6,565.24/x
  3. Step 3: Cross multiply
    13,314.98x = 19,958.02 × 6,565.24
  4. Step 4: Simplify right side
    13,314.98x = 131,029,191.22
  5. Step 5: Solve for x
    x = 131,029,191.22/13,314.98
  6. Step 6: Final answer
    x = 9,840.74

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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.