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Finding the Fourth Proportional to 12,547.53, 17,313.74 and 8,077.33

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Solution

The fourth proportional to 12,547.53, 17,313.74 and 8,077.33 is: 11,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.53 : 17,313.74 = 8,077.33 : x
  2. Step 2: Convert to fraction form
    12,547.53/17,313.74 = 8,077.33/x
  3. Step 3: Cross multiply
    12,547.53x = 17,313.74 × 8,077.33
  4. Step 4: Simplify right side
    12,547.53x = 139,848,830.66
  5. Step 5: Solve for x
    x = 139,848,830.66/12,547.53
  6. Step 6: Final answer
    x = 11,145.53

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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.