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Finding the Fourth Proportional to 14,297.13, 21,421.98 and 10,116.42

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Solution

The fourth proportional to 14,297.13, 21,421.98 and 10,116.42 is: 15,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.13 : 21,421.98 = 10,116.42 : x
  2. Step 2: Convert to fraction form
    14,297.13/21,421.98 = 10,116.42/x
  3. Step 3: Cross multiply
    14,297.13x = 21,421.98 × 10,116.42
  4. Step 4: Simplify right side
    14,297.13x = 216,713,746.91
  5. Step 5: Solve for x
    x = 216,713,746.91/14,297.13
  6. Step 6: Final answer
    x = 15,157.85

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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.