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Finding the Fourth Proportional to 12,535.40, 17,298.24 and 7,230.32

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Solution

The fourth proportional to 12,535.40, 17,298.24 and 7,230.32 is: 9,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.40 : 17,298.24 = 7,230.32 : x
  2. Step 2: Convert to fraction form
    12,535.40/17,298.24 = 7,230.32/x
  3. Step 3: Cross multiply
    12,535.40x = 17,298.24 × 7,230.32
  4. Step 4: Simplify right side
    12,535.40x = 125,071,810.64
  5. Step 5: Solve for x
    x = 125,071,810.64/12,535.40
  6. Step 6: Final answer
    x = 9,977.49

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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.