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Finding the Fourth Proportional to 22,985.41, 31,723.07 and 12,914.63

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Solution

The fourth proportional to 22,985.41, 31,723.07 and 12,914.63 is: 17,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.41 : 31,723.07 = 12,914.63 : x
  2. Step 2: Convert to fraction form
    22,985.41/31,723.07 = 12,914.63/x
  3. Step 3: Cross multiply
    22,985.41x = 31,723.07 × 12,914.63
  4. Step 4: Simplify right side
    22,985.41x = 409,691,666.77
  5. Step 5: Solve for x
    x = 409,691,666.77/22,985.41
  6. Step 6: Final answer
    x = 17,823.99

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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.