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Finding the Fourth Proportional to 13,984.52, 19,298.62 and 7,696.89

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Solution

The fourth proportional to 13,984.52, 19,298.62 and 7,696.89 is: 10,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.52 : 19,298.62 = 7,696.89 : x
  2. Step 2: Convert to fraction form
    13,984.52/19,298.62 = 7,696.89/x
  3. Step 3: Cross multiply
    13,984.52x = 19,298.62 × 7,696.89
  4. Step 4: Simplify right side
    13,984.52x = 148,539,364.91
  5. Step 5: Solve for x
    x = 148,539,364.91/13,984.52
  6. Step 6: Final answer
    x = 10,621.70

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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.