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Finding the Fourth Proportional to 21,952.32, 32,931 and 6,369.36

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Solution

The fourth proportional to 21,952.32, 32,931 and 6,369.36 is: 9,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.32 : 32,931 = 6,369.36 : x
  2. Step 2: Convert to fraction form
    21,952.32/32,931 = 6,369.36/x
  3. Step 3: Cross multiply
    21,952.32x = 32,931 × 6,369.36
  4. Step 4: Simplify right side
    21,952.32x = 209,749,394.16
  5. Step 5: Solve for x
    x = 209,749,394.16/21,952.32
  6. Step 6: Final answer
    x = 9,554.77

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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.