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Finding the Fourth Proportional to 14,577.36, 21,868.56 and 4,719.12

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Solution

The fourth proportional to 14,577.36, 21,868.56 and 4,719.12 is: 7,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.36 : 21,868.56 = 4,719.12 : x
  2. Step 2: Convert to fraction form
    14,577.36/21,868.56 = 4,719.12/x
  3. Step 3: Cross multiply
    14,577.36x = 21,868.56 × 4,719.12
  4. Step 4: Simplify right side
    14,577.36x = 103,200,358.87
  5. Step 5: Solve for x
    x = 103,200,358.87/14,577.36
  6. Step 6: Final answer
    x = 7,079.50

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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.