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Finding the Fourth Proportional to 22,848.86, 31,534.36 and 12,777.86

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Solution

The fourth proportional to 22,848.86, 31,534.36 and 12,777.86 is: 17,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.86 : 31,534.36 = 12,777.86 : x
  2. Step 2: Convert to fraction form
    22,848.86/31,534.36 = 12,777.86/x
  3. Step 3: Cross multiply
    22,848.86x = 31,534.36 × 12,777.86
  4. Step 4: Simplify right side
    22,848.86x = 402,941,637.27
  5. Step 5: Solve for x
    x = 402,941,637.27/22,848.86
  6. Step 6: Final answer
    x = 17,635.09

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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.