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Finding the Fourth Proportional to 15,407.66, 23,114.97 and 4,878.32

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Solution

The fourth proportional to 15,407.66, 23,114.97 and 4,878.32 is: 7,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.66 : 23,114.97 = 4,878.32 : x
  2. Step 2: Convert to fraction form
    15,407.66/23,114.97 = 4,878.32/x
  3. Step 3: Cross multiply
    15,407.66x = 23,114.97 × 4,878.32
  4. Step 4: Simplify right side
    15,407.66x = 112,762,220.45
  5. Step 5: Solve for x
    x = 112,762,220.45/15,407.66
  6. Step 6: Final answer
    x = 7,318.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.