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Finding the Fourth Proportional to 14,998.42, 22,468.38 and 9,788.50

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Solution

The fourth proportional to 14,998.42, 22,468.38 and 9,788.50 is: 14,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.42 : 22,468.38 = 9,788.50 : x
  2. Step 2: Convert to fraction form
    14,998.42/22,468.38 = 9,788.50/x
  3. Step 3: Cross multiply
    14,998.42x = 22,468.38 × 9,788.50
  4. Step 4: Simplify right side
    14,998.42x = 219,931,737.63
  5. Step 5: Solve for x
    x = 219,931,737.63/14,998.42
  6. Step 6: Final answer
    x = 14,663.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.