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Finding the Fourth Proportional to 14,531.20, 21,799.35 and 7,509.25

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Solution

The fourth proportional to 14,531.20, 21,799.35 and 7,509.25 is: 11,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.20 : 21,799.35 = 7,509.25 : x
  2. Step 2: Convert to fraction form
    14,531.20/21,799.35 = 7,509.25/x
  3. Step 3: Cross multiply
    14,531.20x = 21,799.35 × 7,509.25
  4. Step 4: Simplify right side
    14,531.20x = 163,696,768.99
  5. Step 5: Solve for x
    x = 163,696,768.99/14,531.20
  6. Step 6: Final answer
    x = 11,265.19

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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.