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Finding the Fourth Proportional to 21,384.48, 32,076.72 and 5,802.12

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Solution

The fourth proportional to 21,384.48, 32,076.72 and 5,802.12 is: 8,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.48 : 32,076.72 = 5,802.12 : x
  2. Step 2: Convert to fraction form
    21,384.48/32,076.72 = 5,802.12/x
  3. Step 3: Cross multiply
    21,384.48x = 32,076.72 × 5,802.12
  4. Step 4: Simplify right side
    21,384.48x = 186,112,978.65
  5. Step 5: Solve for x
    x = 186,112,978.65/21,384.48
  6. Step 6: Final answer
    x = 8,703.18

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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.