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Finding the Fourth Proportional to 13,884.70, 19,160.73 and 7,597

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Solution

The fourth proportional to 13,884.70, 19,160.73 and 7,597 is: 10,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.70 : 19,160.73 = 7,597 : x
  2. Step 2: Convert to fraction form
    13,884.70/19,160.73 = 7,597/x
  3. Step 3: Cross multiply
    13,884.70x = 19,160.73 × 7,597
  4. Step 4: Simplify right side
    13,884.70x = 145,564,065.81
  5. Step 5: Solve for x
    x = 145,564,065.81/13,884.70
  6. Step 6: Final answer
    x = 10,483.77

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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.