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Finding the Fourth Proportional to 21,878.24, 32,810.47 and 7,083.72

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Solution

The fourth proportional to 21,878.24, 32,810.47 and 7,083.72 is: 10,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.24 : 32,810.47 = 7,083.72 : x
  2. Step 2: Convert to fraction form
    21,878.24/32,810.47 = 7,083.72/x
  3. Step 3: Cross multiply
    21,878.24x = 32,810.47 × 7,083.72
  4. Step 4: Simplify right side
    21,878.24x = 232,420,164.84
  5. Step 5: Solve for x
    x = 232,420,164.84/21,878.24
  6. Step 6: Final answer
    x = 10,623.35

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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.