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Finding the Fourth Proportional to 15,122.44, 22,683.66 and 4,735

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Solution

The fourth proportional to 15,122.44, 22,683.66 and 4,735 is: 7,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.44 : 22,683.66 = 4,735 : x
  2. Step 2: Convert to fraction form
    15,122.44/22,683.66 = 4,735/x
  3. Step 3: Cross multiply
    15,122.44x = 22,683.66 × 4,735
  4. Step 4: Simplify right side
    15,122.44x = 107,407,130.10
  5. Step 5: Solve for x
    x = 107,407,130.10/15,122.44
  6. Step 6: Final answer
    x = 7,102.50

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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.