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Finding the Fourth Proportional to 19,253, 26,569.22 and 10,421

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Solution

The fourth proportional to 19,253, 26,569.22 and 10,421 is: 14,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,253 : 26,569.22 = 10,421 : x
  2. Step 2: Convert to fraction form
    19,253/26,569.22 = 10,421/x
  3. Step 3: Cross multiply
    19,253x = 26,569.22 × 10,421
  4. Step 4: Simplify right side
    19,253x = 276,877,841.62
  5. Step 5: Solve for x
    x = 276,877,841.62/19,253
  6. Step 6: Final answer
    x = 14,381.02

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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.