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Finding the Fourth Proportional to 14,260.80, 21,397.60 and 6,465.60

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Solution

The fourth proportional to 14,260.80, 21,397.60 and 6,465.60 is: 9,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.80 : 21,397.60 = 6,465.60 : x
  2. Step 2: Convert to fraction form
    14,260.80/21,397.60 = 6,465.60/x
  3. Step 3: Cross multiply
    14,260.80x = 21,397.60 × 6,465.60
  4. Step 4: Simplify right side
    14,260.80x = 138,348,322.56
  5. Step 5: Solve for x
    x = 138,348,322.56/14,260.80
  6. Step 6: Final answer
    x = 9,701.30

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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.