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Finding the Fourth Proportional to 26,547.54, 39,827.25 and 7,827.36

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Solution

The fourth proportional to 26,547.54, 39,827.25 and 7,827.36 is: 11,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,547.54 : 39,827.25 = 7,827.36 : x
  2. Step 2: Convert to fraction form
    26,547.54/39,827.25 = 7,827.36/x
  3. Step 3: Cross multiply
    26,547.54x = 39,827.25 × 7,827.36
  4. Step 4: Simplify right side
    26,547.54x = 311,742,223.56
  5. Step 5: Solve for x
    x = 311,742,223.56/26,547.54
  6. Step 6: Final answer
    x = 11,742.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.