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Finding the Fourth Proportional to 12,851.36, 17,737.56 and 7,547.36

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Solution

The fourth proportional to 12,851.36, 17,737.56 and 7,547.36 is: 10,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.36 : 17,737.56 = 7,547.36 : x
  2. Step 2: Convert to fraction form
    12,851.36/17,737.56 = 7,547.36/x
  3. Step 3: Cross multiply
    12,851.36x = 17,737.56 × 7,547.36
  4. Step 4: Simplify right side
    12,851.36x = 133,871,750.84
  5. Step 5: Solve for x
    x = 133,871,750.84/12,851.36
  6. Step 6: Final answer
    x = 10,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.