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Finding the Fourth Proportional to 23,675.86, 35,507.65 and 7,031.98

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Solution

The fourth proportional to 23,675.86, 35,507.65 and 7,031.98 is: 10,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.86 : 35,507.65 = 7,031.98 : x
  2. Step 2: Convert to fraction form
    23,675.86/35,507.65 = 7,031.98/x
  3. Step 3: Cross multiply
    23,675.86x = 35,507.65 × 7,031.98
  4. Step 4: Simplify right side
    23,675.86x = 249,689,084.65
  5. Step 5: Solve for x
    x = 249,689,084.65/23,675.86
  6. Step 6: Final answer
    x = 10,546.15

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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.