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Finding the Fourth Proportional to 23,525.71, 35,295.45 and 9,478.49

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Solution

The fourth proportional to 23,525.71, 35,295.45 and 9,478.49 is: 14,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.71 : 35,295.45 = 9,478.49 : x
  2. Step 2: Convert to fraction form
    23,525.71/35,295.45 = 9,478.49/x
  3. Step 3: Cross multiply
    23,525.71x = 35,295.45 × 9,478.49
  4. Step 4: Simplify right side
    23,525.71x = 334,547,357.85
  5. Step 5: Solve for x
    x = 334,547,357.85/23,525.71
  6. Step 6: Final answer
    x = 14,220.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.