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Finding the Fourth Proportional to 19,877.74, 27,431.06 and 10,925.01

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Solution

The fourth proportional to 19,877.74, 27,431.06 and 10,925.01 is: 15,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.74 : 27,431.06 = 10,925.01 : x
  2. Step 2: Convert to fraction form
    19,877.74/27,431.06 = 10,925.01/x
  3. Step 3: Cross multiply
    19,877.74x = 27,431.06 × 10,925.01
  4. Step 4: Simplify right side
    19,877.74x = 299,684,550.19
  5. Step 5: Solve for x
    x = 299,684,550.19/19,877.74
  6. Step 6: Final answer
    x = 15,076.39

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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.