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Finding the Fourth Proportional to 13,038.40, 19,557.60 and 6,465.60

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Solution

The fourth proportional to 13,038.40, 19,557.60 and 6,465.60 is: 9,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.40 : 19,557.60 = 6,465.60 : x
  2. Step 2: Convert to fraction form
    13,038.40/19,557.60 = 6,465.60/x
  3. Step 3: Cross multiply
    13,038.40x = 19,557.60 × 6,465.60
  4. Step 4: Simplify right side
    13,038.40x = 126,451,618.56
  5. Step 5: Solve for x
    x = 126,451,618.56/13,038.40
  6. Step 6: Final answer
    x = 9,698.40

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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.