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Finding the Fourth Proportional to 25,897.64, 38,863.26 and 14,219

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Solution

The fourth proportional to 25,897.64, 38,863.26 and 14,219 is: 21,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.64 : 38,863.26 = 14,219 : x
  2. Step 2: Convert to fraction form
    25,897.64/38,863.26 = 14,219/x
  3. Step 3: Cross multiply
    25,897.64x = 38,863.26 × 14,219
  4. Step 4: Simplify right side
    25,897.64x = 552,596,693.94
  5. Step 5: Solve for x
    x = 552,596,693.94/25,897.64
  6. Step 6: Final answer
    x = 21,337.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.