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Finding the Fourth Proportional to 34,680, 52,011.30 and 9,713.58

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Solution

The fourth proportional to 34,680, 52,011.30 and 9,713.58 is: 14,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,680 : 52,011.30 = 9,713.58 : x
  2. Step 2: Convert to fraction form
    34,680/52,011.30 = 9,713.58/x
  3. Step 3: Cross multiply
    34,680x = 52,011.30 × 9,713.58
  4. Step 4: Simplify right side
    34,680x = 505,215,923.45
  5. Step 5: Solve for x
    x = 505,215,923.45/34,680
  6. Step 6: Final answer
    x = 14,567.93

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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.