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Finding the Fourth Proportional to 14,102.18, 19,436.64 and 12,298.42

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Solution

The fourth proportional to 14,102.18, 19,436.64 and 12,298.42 is: 16,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.18 : 19,436.64 = 12,298.42 : x
  2. Step 2: Convert to fraction form
    14,102.18/19,436.64 = 12,298.42/x
  3. Step 3: Cross multiply
    14,102.18x = 19,436.64 × 12,298.42
  4. Step 4: Simplify right side
    14,102.18x = 239,039,962.11
  5. Step 5: Solve for x
    x = 239,039,962.11/14,102.18
  6. Step 6: Final answer
    x = 16,950.57

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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.