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Finding the Fourth Proportional to 15,246, 21,047.76 and 9,582.48

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Solution

The fourth proportional to 15,246, 21,047.76 and 9,582.48 is: 13,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246 : 21,047.76 = 9,582.48 : x
  2. Step 2: Convert to fraction form
    15,246/21,047.76 = 9,582.48/x
  3. Step 3: Cross multiply
    15,246x = 21,047.76 × 9,582.48
  4. Step 4: Simplify right side
    15,246x = 201,689,739.24
  5. Step 5: Solve for x
    x = 201,689,739.24/15,246
  6. Step 6: Final answer
    x = 13,229.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.