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Finding the Fourth Proportional to 19,047, 26,284.86 and 11,595

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Solution

The fourth proportional to 19,047, 26,284.86 and 11,595 is: 16,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047 : 26,284.86 = 11,595 : x
  2. Step 2: Convert to fraction form
    19,047/26,284.86 = 11,595/x
  3. Step 3: Cross multiply
    19,047x = 26,284.86 × 11,595
  4. Step 4: Simplify right side
    19,047x = 304,772,951.70
  5. Step 5: Solve for x
    x = 304,772,951.70/19,047
  6. Step 6: Final answer
    x = 16,001.10

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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.