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Finding the Fourth Proportional to 12,875.84, 17,762.31 and 8,101.58

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Solution

The fourth proportional to 12,875.84, 17,762.31 and 8,101.58 is: 11,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.84 : 17,762.31 = 8,101.58 : x
  2. Step 2: Convert to fraction form
    12,875.84/17,762.31 = 8,101.58/x
  3. Step 3: Cross multiply
    12,875.84x = 17,762.31 × 8,101.58
  4. Step 4: Simplify right side
    12,875.84x = 143,902,775.45
  5. Step 5: Solve for x
    x = 143,902,775.45/12,875.84
  6. Step 6: Final answer
    x = 11,176.19

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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.