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Finding the Fourth Proportional to 15,854.82, 23,764.41 and 7,528.02

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Solution

The fourth proportional to 15,854.82, 23,764.41 and 7,528.02 is: 11,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.82 : 23,764.41 = 7,528.02 : x
  2. Step 2: Convert to fraction form
    15,854.82/23,764.41 = 7,528.02/x
  3. Step 3: Cross multiply
    15,854.82x = 23,764.41 × 7,528.02
  4. Step 4: Simplify right side
    15,854.82x = 178,898,953.77
  5. Step 5: Solve for x
    x = 178,898,953.77/15,854.82
  6. Step 6: Final answer
    x = 11,283.57

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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.