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Finding the Fourth Proportional to 12,994.32, 19,465.17 and 10,207.95

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Solution

The fourth proportional to 12,994.32, 19,465.17 and 10,207.95 is: 15,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.32 : 19,465.17 = 10,207.95 : x
  2. Step 2: Convert to fraction form
    12,994.32/19,465.17 = 10,207.95/x
  3. Step 3: Cross multiply
    12,994.32x = 19,465.17 × 10,207.95
  4. Step 4: Simplify right side
    12,994.32x = 198,699,482.10
  5. Step 5: Solve for x
    x = 198,699,482.10/12,994.32
  6. Step 6: Final answer
    x = 15,291.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.