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Finding the Fourth Proportional to 21,828.48, 32,712 and 9,509.76

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Solution

The fourth proportional to 21,828.48, 32,712 and 9,509.76 is: 14,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.48 : 32,712 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    21,828.48/32,712 = 9,509.76/x
  3. Step 3: Cross multiply
    21,828.48x = 32,712 × 9,509.76
  4. Step 4: Simplify right side
    21,828.48x = 311,083,269.12
  5. Step 5: Solve for x
    x = 311,083,269.12/21,828.48
  6. Step 6: Final answer
    x = 14,251.26

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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.