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Finding the Fourth Proportional to 22,756.56, 31,402.51 and 14,258.44

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Solution

The fourth proportional to 22,756.56, 31,402.51 and 14,258.44 is: 19,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.56 : 31,402.51 = 14,258.44 : x
  2. Step 2: Convert to fraction form
    22,756.56/31,402.51 = 14,258.44/x
  3. Step 3: Cross multiply
    22,756.56x = 31,402.51 × 14,258.44
  4. Step 4: Simplify right side
    22,756.56x = 447,750,804.68
  5. Step 5: Solve for x
    x = 447,750,804.68/22,756.56
  6. Step 6: Final answer
    x = 19,675.68

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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.