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Finding the Fourth Proportional to 24,386.86, 33,652.02 and 13,777.48

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Solution

The fourth proportional to 24,386.86, 33,652.02 and 13,777.48 is: 19,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.86 : 33,652.02 = 13,777.48 : x
  2. Step 2: Convert to fraction form
    24,386.86/33,652.02 = 13,777.48/x
  3. Step 3: Cross multiply
    24,386.86x = 33,652.02 × 13,777.48
  4. Step 4: Simplify right side
    24,386.86x = 463,640,032.51
  5. Step 5: Solve for x
    x = 463,640,032.51/24,386.86
  6. Step 6: Final answer
    x = 19,011.88

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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.