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Finding the Fourth Proportional to 19,123.44, 26,318.44 and 16,178

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Solution

The fourth proportional to 19,123.44, 26,318.44 and 16,178 is: 22,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.44 : 26,318.44 = 16,178 : x
  2. Step 2: Convert to fraction form
    19,123.44/26,318.44 = 16,178/x
  3. Step 3: Cross multiply
    19,123.44x = 26,318.44 × 16,178
  4. Step 4: Simplify right side
    19,123.44x = 425,779,722.32
  5. Step 5: Solve for x
    x = 425,779,722.32/19,123.44
  6. Step 6: Final answer
    x = 22,264.81

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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.