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Finding the Fourth Proportional to 14,298.78, 19,737.74 and 8,332.38

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Solution

The fourth proportional to 14,298.78, 19,737.74 and 8,332.38 is: 11,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.78 : 19,737.74 = 8,332.38 : x
  2. Step 2: Convert to fraction form
    14,298.78/19,737.74 = 8,332.38/x
  3. Step 3: Cross multiply
    14,298.78x = 19,737.74 × 8,332.38
  4. Step 4: Simplify right side
    14,298.78x = 164,462,350.02
  5. Step 5: Solve for x
    x = 164,462,350.02/14,298.78
  6. Step 6: Final answer
    x = 11,501.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.