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Finding the Fourth Proportional to 15,322.60, 22,986.06 and 4,933

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Solution

The fourth proportional to 15,322.60, 22,986.06 and 4,933 is: 7,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.60 : 22,986.06 = 4,933 : x
  2. Step 2: Convert to fraction form
    15,322.60/22,986.06 = 4,933/x
  3. Step 3: Cross multiply
    15,322.60x = 22,986.06 × 4,933
  4. Step 4: Simplify right side
    15,322.60x = 113,390,233.98
  5. Step 5: Solve for x
    x = 113,390,233.98/15,322.60
  6. Step 6: Final answer
    x = 7,400.20

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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.