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Finding the Fourth Proportional to 15,823.94, 23,747.58 and 7,503.98

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Solution

The fourth proportional to 15,823.94, 23,747.58 and 7,503.98 is: 11,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.94 : 23,747.58 = 7,503.98 : x
  2. Step 2: Convert to fraction form
    15,823.94/23,747.58 = 7,503.98/x
  3. Step 3: Cross multiply
    15,823.94x = 23,747.58 × 7,503.98
  4. Step 4: Simplify right side
    15,823.94x = 178,201,246.63
  5. Step 5: Solve for x
    x = 178,201,246.63/15,823.94
  6. Step 6: Final answer
    x = 11,261.50

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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.