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Finding the Fourth Proportional to 12,985.57, 17,925.74 and 10,107.78

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Solution

The fourth proportional to 12,985.57, 17,925.74 and 10,107.78 is: 13,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.57 : 17,925.74 = 10,107.78 : x
  2. Step 2: Convert to fraction form
    12,985.57/17,925.74 = 10,107.78/x
  3. Step 3: Cross multiply
    12,985.57x = 17,925.74 × 10,107.78
  4. Step 4: Simplify right side
    12,985.57x = 181,189,436.26
  5. Step 5: Solve for x
    x = 181,189,436.26/12,985.57
  6. Step 6: Final answer
    x = 13,953.14

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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.