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Finding the Fourth Proportional to 23,031.75, 34,547.63 and 6,615.75

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Solution

The fourth proportional to 23,031.75, 34,547.63 and 6,615.75 is: 9,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.75 : 34,547.63 = 6,615.75 : x
  2. Step 2: Convert to fraction form
    23,031.75/34,547.63 = 6,615.75/x
  3. Step 3: Cross multiply
    23,031.75x = 34,547.63 × 6,615.75
  4. Step 4: Simplify right side
    23,031.75x = 228,558,450.09
  5. Step 5: Solve for x
    x = 228,558,450.09/23,031.75
  6. Step 6: Final answer
    x = 9,923.63

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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.