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Finding the Fourth Proportional to 16,210, 24,326.40 and 5,822.08

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Solution

The fourth proportional to 16,210, 24,326.40 and 5,822.08 is: 8,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210 : 24,326.40 = 5,822.08 : x
  2. Step 2: Convert to fraction form
    16,210/24,326.40 = 5,822.08/x
  3. Step 3: Cross multiply
    16,210x = 24,326.40 × 5,822.08
  4. Step 4: Simplify right side
    16,210x = 141,630,246.91
  5. Step 5: Solve for x
    x = 141,630,246.91/16,210
  6. Step 6: Final answer
    x = 8,737.21

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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.