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Finding the Fourth Proportional to 14,297.16, 21,429.16 and 8,458.68

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Solution

The fourth proportional to 14,297.16, 21,429.16 and 8,458.68 is: 12,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.16 : 21,429.16 = 8,458.68 : x
  2. Step 2: Convert to fraction form
    14,297.16/21,429.16 = 8,458.68/x
  3. Step 3: Cross multiply
    14,297.16x = 21,429.16 × 8,458.68
  4. Step 4: Simplify right side
    14,297.16x = 181,262,407.11
  5. Step 5: Solve for x
    x = 181,262,407.11/14,297.16
  6. Step 6: Final answer
    x = 12,678.21

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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.