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Finding the Fourth Proportional to 19,578, 27,017.08 and 10,846.35

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Solution

The fourth proportional to 19,578, 27,017.08 and 10,846.35 is: 14,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 27,017.08 = 10,846.35 : x
  2. Step 2: Convert to fraction form
    19,578/27,017.08 = 10,846.35/x
  3. Step 3: Cross multiply
    19,578x = 27,017.08 × 10,846.35
  4. Step 4: Simplify right side
    19,578x = 293,036,705.66
  5. Step 5: Solve for x
    x = 293,036,705.66/19,578
  6. Step 6: Final answer
    x = 14,967.65

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