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Finding the Fourth Proportional to 15,710.48, 23,569.20 and 5,180.08

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Solution

The fourth proportional to 15,710.48, 23,569.20 and 5,180.08 is: 7,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.48 : 23,569.20 = 5,180.08 : x
  2. Step 2: Convert to fraction form
    15,710.48/23,569.20 = 5,180.08/x
  3. Step 3: Cross multiply
    15,710.48x = 23,569.20 × 5,180.08
  4. Step 4: Simplify right side
    15,710.48x = 122,090,341.54
  5. Step 5: Solve for x
    x = 122,090,341.54/15,710.48
  6. Step 6: Final answer
    x = 7,771.27

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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.