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Finding the Fourth Proportional to 21,802.50, 32,703.75 and 5,386.50

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Solution

The fourth proportional to 21,802.50, 32,703.75 and 5,386.50 is: 8,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.50 : 32,703.75 = 5,386.50 : x
  2. Step 2: Convert to fraction form
    21,802.50/32,703.75 = 5,386.50/x
  3. Step 3: Cross multiply
    21,802.50x = 32,703.75 × 5,386.50
  4. Step 4: Simplify right side
    21,802.50x = 176,158,749.38
  5. Step 5: Solve for x
    x = 176,158,749.38/21,802.50
  6. Step 6: Final answer
    x = 8,079.75

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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.