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Finding the Fourth Proportional to 19,184.38, 26,463.84 and 15,970.40

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Solution

The fourth proportional to 19,184.38, 26,463.84 and 15,970.40 is: 22,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184.38 : 26,463.84 = 15,970.40 : x
  2. Step 2: Convert to fraction form
    19,184.38/26,463.84 = 15,970.40/x
  3. Step 3: Cross multiply
    19,184.38x = 26,463.84 × 15,970.40
  4. Step 4: Simplify right side
    19,184.38x = 422,638,017.37
  5. Step 5: Solve for x
    x = 422,638,017.37/19,184.38
  6. Step 6: Final answer
    x = 22,030.32

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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.