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Finding the Fourth Proportional to 13,059.60, 19,551.60 and 9,787.20

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Solution

The fourth proportional to 13,059.60, 19,551.60 and 9,787.20 is: 14,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.60 : 19,551.60 = 9,787.20 : x
  2. Step 2: Convert to fraction form
    13,059.60/19,551.60 = 9,787.20/x
  3. Step 3: Cross multiply
    13,059.60x = 19,551.60 × 9,787.20
  4. Step 4: Simplify right side
    13,059.60x = 191,355,419.52
  5. Step 5: Solve for x
    x = 191,355,419.52/13,059.60
  6. Step 6: Final answer
    x = 14,652.47

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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.