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Finding the Fourth Proportional to 13,934.53, 19,229.03 and 7,646.77

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Solution

The fourth proportional to 13,934.53, 19,229.03 and 7,646.77 is: 10,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.53 : 19,229.03 = 7,646.77 : x
  2. Step 2: Convert to fraction form
    13,934.53/19,229.03 = 7,646.77/x
  3. Step 3: Cross multiply
    13,934.53x = 19,229.03 × 7,646.77
  4. Step 4: Simplify right side
    13,934.53x = 147,039,931.50
  5. Step 5: Solve for x
    x = 147,039,931.50/13,934.53
  6. Step 6: Final answer
    x = 10,552.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.