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Finding the Fourth Proportional to 16,438.34, 24,663.71 and 9,869.10

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Solution

The fourth proportional to 16,438.34, 24,663.71 and 9,869.10 is: 14,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.34 : 24,663.71 = 9,869.10 : x
  2. Step 2: Convert to fraction form
    16,438.34/24,663.71 = 9,869.10/x
  3. Step 3: Cross multiply
    16,438.34x = 24,663.71 × 9,869.10
  4. Step 4: Simplify right side
    16,438.34x = 243,408,620.36
  5. Step 5: Solve for x
    x = 243,408,620.36/16,438.34
  6. Step 6: Final answer
    x = 14,807.38

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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.