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Finding the Fourth Proportional to 15,123, 22,684.50 and 4,735.02

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Solution

The fourth proportional to 15,123, 22,684.50 and 4,735.02 is: 7,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123 : 22,684.50 = 4,735.02 : x
  2. Step 2: Convert to fraction form
    15,123/22,684.50 = 4,735.02/x
  3. Step 3: Cross multiply
    15,123x = 22,684.50 × 4,735.02
  4. Step 4: Simplify right side
    15,123x = 107,411,561.19
  5. Step 5: Solve for x
    x = 107,411,561.19/15,123
  6. Step 6: Final answer
    x = 7,102.53

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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.