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Finding the Fourth Proportional to 19,925.56, 27,497.38 and 11,428

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Solution

The fourth proportional to 19,925.56, 27,497.38 and 11,428 is: 15,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,925.56 : 27,497.38 = 11,428 : x
  2. Step 2: Convert to fraction form
    19,925.56/27,497.38 = 11,428/x
  3. Step 3: Cross multiply
    19,925.56x = 27,497.38 × 11,428
  4. Step 4: Simplify right side
    19,925.56x = 314,240,058.64
  5. Step 5: Solve for x
    x = 314,240,058.64/19,925.56
  6. Step 6: Final answer
    x = 15,770.70

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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.