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Finding the Fourth Proportional to 25,497, 35,189.16 and 14,319

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Solution

The fourth proportional to 25,497, 35,189.16 and 14,319 is: 19,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497 : 35,189.16 = 14,319 : x
  2. Step 2: Convert to fraction form
    25,497/35,189.16 = 14,319/x
  3. Step 3: Cross multiply
    25,497x = 35,189.16 × 14,319
  4. Step 4: Simplify right side
    25,497x = 503,873,582.04
  5. Step 5: Solve for x
    x = 503,873,582.04/25,497
  6. Step 6: Final answer
    x = 19,762.07

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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.