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Finding the Fourth Proportional to 15,533.68, 21,443.70 and 9,158.26

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Solution

The fourth proportional to 15,533.68, 21,443.70 and 9,158.26 is: 12,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.68 : 21,443.70 = 9,158.26 : x
  2. Step 2: Convert to fraction form
    15,533.68/21,443.70 = 9,158.26/x
  3. Step 3: Cross multiply
    15,533.68x = 21,443.70 × 9,158.26
  4. Step 4: Simplify right side
    15,533.68x = 196,386,979.96
  5. Step 5: Solve for x
    x = 196,386,979.96/15,533.68
  6. Step 6: Final answer
    x = 12,642.66

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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.