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Finding the Fourth Proportional to 19,210, 26,509.80 and 10,378

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Solution

The fourth proportional to 19,210, 26,509.80 and 10,378 is: 14,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210 : 26,509.80 = 10,378 : x
  2. Step 2: Convert to fraction form
    19,210/26,509.80 = 10,378/x
  3. Step 3: Cross multiply
    19,210x = 26,509.80 × 10,378
  4. Step 4: Simplify right side
    19,210x = 275,118,704.40
  5. Step 5: Solve for x
    x = 275,118,704.40/19,210
  6. Step 6: Final answer
    x = 14,321.64

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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.