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Finding the Fourth Proportional to 15,925.75, 23,888.63 and 5,537.50

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Solution

The fourth proportional to 15,925.75, 23,888.63 and 5,537.50 is: 8,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925.75 : 23,888.63 = 5,537.50 : x
  2. Step 2: Convert to fraction form
    15,925.75/23,888.63 = 5,537.50/x
  3. Step 3: Cross multiply
    15,925.75x = 23,888.63 × 5,537.50
  4. Step 4: Simplify right side
    15,925.75x = 132,283,288.63
  5. Step 5: Solve for x
    x = 132,283,288.63/15,925.75
  6. Step 6: Final answer
    x = 8,306.25

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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.