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Finding the Fourth Proportional to 10,297.14, 14,199.45 and 8,809.98

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Solution

The fourth proportional to 10,297.14, 14,199.45 and 8,809.98 is: 12,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.14 : 14,199.45 = 8,809.98 : x
  2. Step 2: Convert to fraction form
    10,297.14/14,199.45 = 8,809.98/x
  3. Step 3: Cross multiply
    10,297.14x = 14,199.45 × 8,809.98
  4. Step 4: Simplify right side
    10,297.14x = 125,096,870.51
  5. Step 5: Solve for x
    x = 125,096,870.51/10,297.14
  6. Step 6: Final answer
    x = 12,148.70

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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.