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Finding the Fourth Proportional to 25,714.80, 38,530.80 and 14,588.40

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Solution

The fourth proportional to 25,714.80, 38,530.80 and 14,588.40 is: 21,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.80 : 38,530.80 = 14,588.40 : x
  2. Step 2: Convert to fraction form
    25,714.80/38,530.80 = 14,588.40/x
  3. Step 3: Cross multiply
    25,714.80x = 38,530.80 × 14,588.40
  4. Step 4: Simplify right side
    25,714.80x = 562,102,722.72
  5. Step 5: Solve for x
    x = 562,102,722.72/25,714.80
  6. Step 6: Final answer
    x = 21,859.11

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