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Finding the Fourth Proportional to 22,931.54, 31,602.67 and 17,887.77

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Solution

The fourth proportional to 22,931.54, 31,602.67 and 17,887.77 is: 24,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.54 : 31,602.67 = 17,887.77 : x
  2. Step 2: Convert to fraction form
    22,931.54/31,602.67 = 17,887.77/x
  3. Step 3: Cross multiply
    22,931.54x = 31,602.67 × 17,887.77
  4. Step 4: Simplify right side
    22,931.54x = 565,301,134.33
  5. Step 5: Solve for x
    x = 565,301,134.33/22,931.54
  6. Step 6: Final answer
    x = 24,651.69

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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.