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Finding the Fourth Proportional to 12,925.31, 17,835.93 and 7,258.24

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Solution

The fourth proportional to 12,925.31, 17,835.93 and 7,258.24 is: 10,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.31 : 17,835.93 = 7,258.24 : x
  2. Step 2: Convert to fraction form
    12,925.31/17,835.93 = 7,258.24/x
  3. Step 3: Cross multiply
    12,925.31x = 17,835.93 × 7,258.24
  4. Step 4: Simplify right side
    12,925.31x = 129,457,424.27
  5. Step 5: Solve for x
    x = 129,457,424.27/12,925.31
  6. Step 6: Final answer
    x = 10,015.81

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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.