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Finding the Fourth Proportional to 15,547.44, 23,314.94 and 6,776.16

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Solution

The fourth proportional to 15,547.44, 23,314.94 and 6,776.16 is: 10,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.44 : 23,314.94 = 6,776.16 : x
  2. Step 2: Convert to fraction form
    15,547.44/23,314.94 = 6,776.16/x
  3. Step 3: Cross multiply
    15,547.44x = 23,314.94 × 6,776.16
  4. Step 4: Simplify right side
    15,547.44x = 157,985,667.93
  5. Step 5: Solve for x
    x = 157,985,667.93/15,547.44
  6. Step 6: Final answer
    x = 10,161.52

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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.