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Finding the Fourth Proportional to 13,001.15, 19,504.16 and 5,210.57

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Solution

The fourth proportional to 13,001.15, 19,504.16 and 5,210.57 is: 7,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.15 : 19,504.16 = 5,210.57 : x
  2. Step 2: Convert to fraction form
    13,001.15/19,504.16 = 5,210.57/x
  3. Step 3: Cross multiply
    13,001.15x = 19,504.16 × 5,210.57
  4. Step 4: Simplify right side
    13,001.15x = 101,627,667.40
  5. Step 5: Solve for x
    x = 101,627,667.40/13,001.15
  6. Step 6: Final answer
    x = 7,816.82

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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.