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Finding the Fourth Proportional to 19,292, 26,623.12 and 10,460

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Solution

The fourth proportional to 19,292, 26,623.12 and 10,460 is: 14,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292 : 26,623.12 = 10,460 : x
  2. Step 2: Convert to fraction form
    19,292/26,623.12 = 10,460/x
  3. Step 3: Cross multiply
    19,292x = 26,623.12 × 10,460
  4. Step 4: Simplify right side
    19,292x = 278,477,835.20
  5. Step 5: Solve for x
    x = 278,477,835.20/19,292
  6. Step 6: Final answer
    x = 14,434.89

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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.