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Finding the Fourth Proportional to 14,357.92, 21,534 and 3,970.72

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Solution

The fourth proportional to 14,357.92, 21,534 and 3,970.72 is: 5,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.92 : 21,534 = 3,970.72 : x
  2. Step 2: Convert to fraction form
    14,357.92/21,534 = 3,970.72/x
  3. Step 3: Cross multiply
    14,357.92x = 21,534 × 3,970.72
  4. Step 4: Simplify right side
    14,357.92x = 85,505,484.48
  5. Step 5: Solve for x
    x = 85,505,484.48/14,357.92
  6. Step 6: Final answer
    x = 5,955.28

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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.