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Finding the Fourth Proportional to 23,800.14, 32,844.24 and 14,368.77

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Solution

The fourth proportional to 23,800.14, 32,844.24 and 14,368.77 is: 19,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.14 : 32,844.24 = 14,368.77 : x
  2. Step 2: Convert to fraction form
    23,800.14/32,844.24 = 14,368.77/x
  3. Step 3: Cross multiply
    23,800.14x = 32,844.24 × 14,368.77
  4. Step 4: Simplify right side
    23,800.14x = 471,931,330.38
  5. Step 5: Solve for x
    x = 471,931,330.38/23,800.14
  6. Step 6: Final answer
    x = 19,828.93

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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.