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Finding the Fourth Proportional to 15,206.16, 22,810.68 and 5,970

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Solution

The fourth proportional to 15,206.16, 22,810.68 and 5,970 is: 8,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.16 : 22,810.68 = 5,970 : x
  2. Step 2: Convert to fraction form
    15,206.16/22,810.68 = 5,970/x
  3. Step 3: Cross multiply
    15,206.16x = 22,810.68 × 5,970
  4. Step 4: Simplify right side
    15,206.16x = 136,179,759.60
  5. Step 5: Solve for x
    x = 136,179,759.60/15,206.16
  6. Step 6: Final answer
    x = 8,955.57

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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.