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Finding the Fourth Proportional to 12,689.30, 17,503.16 and 10,177.45

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Solution

The fourth proportional to 12,689.30, 17,503.16 and 10,177.45 is: 14,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.30 : 17,503.16 = 10,177.45 : x
  2. Step 2: Convert to fraction form
    12,689.30/17,503.16 = 10,177.45/x
  3. Step 3: Cross multiply
    12,689.30x = 17,503.16 × 10,177.45
  4. Step 4: Simplify right side
    12,689.30x = 178,137,441.10
  5. Step 5: Solve for x
    x = 178,137,441.10/12,689.30
  6. Step 6: Final answer
    x = 14,038.40

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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.