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Finding the Fourth Proportional to 21,712.94, 32,569.32 and 6,130.52

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Solution

The fourth proportional to 21,712.94, 32,569.32 and 6,130.52 is: 9,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.94 : 32,569.32 = 6,130.52 : x
  2. Step 2: Convert to fraction form
    21,712.94/32,569.32 = 6,130.52/x
  3. Step 3: Cross multiply
    21,712.94x = 32,569.32 × 6,130.52
  4. Step 4: Simplify right side
    21,712.94x = 199,666,867.65
  5. Step 5: Solve for x
    x = 199,666,867.65/21,712.94
  6. Step 6: Final answer
    x = 9,195.75

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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.