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Finding the Fourth Proportional to 13,101.46, 19,641.14 and 5,315.74

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Solution

The fourth proportional to 13,101.46, 19,641.14 and 5,315.74 is: 7,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.46 : 19,641.14 = 5,315.74 : x
  2. Step 2: Convert to fraction form
    13,101.46/19,641.14 = 5,315.74/x
  3. Step 3: Cross multiply
    13,101.46x = 19,641.14 × 5,315.74
  4. Step 4: Simplify right side
    13,101.46x = 104,407,193.54
  5. Step 5: Solve for x
    x = 104,407,193.54/13,101.46
  6. Step 6: Final answer
    x = 7,969.13

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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.