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Finding the Fourth Proportional to 12,505.32, 17,256.71 and 6,838.97

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Solution

The fourth proportional to 12,505.32, 17,256.71 and 6,838.97 is: 9,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.32 : 17,256.71 = 6,838.97 : x
  2. Step 2: Convert to fraction form
    12,505.32/17,256.71 = 6,838.97/x
  3. Step 3: Cross multiply
    12,505.32x = 17,256.71 × 6,838.97
  4. Step 4: Simplify right side
    12,505.32x = 118,018,001.51
  5. Step 5: Solve for x
    x = 118,018,001.51/12,505.32
  6. Step 6: Final answer
    x = 9,437.42

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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.