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Finding the Fourth Proportional to 14,417.64, 21,639.24 and 7,402.56

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Solution

The fourth proportional to 14,417.64, 21,639.24 and 7,402.56 is: 11,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.64 : 21,639.24 = 7,402.56 : x
  2. Step 2: Convert to fraction form
    14,417.64/21,639.24 = 7,402.56/x
  3. Step 3: Cross multiply
    14,417.64x = 21,639.24 × 7,402.56
  4. Step 4: Simplify right side
    14,417.64x = 160,185,772.45
  5. Step 5: Solve for x
    x = 160,185,772.45/14,417.64
  6. Step 6: Final answer
    x = 11,110.40

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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.