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Finding the Fourth Proportional to 25,714.28, 35,488.99 and 14,384.40

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Solution

The fourth proportional to 25,714.28, 35,488.99 and 14,384.40 is: 19,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.28 : 35,488.99 = 14,384.40 : x
  2. Step 2: Convert to fraction form
    25,714.28/35,488.99 = 14,384.40/x
  3. Step 3: Cross multiply
    25,714.28x = 35,488.99 × 14,384.40
  4. Step 4: Simplify right side
    25,714.28x = 510,487,755.83
  5. Step 5: Solve for x
    x = 510,487,755.83/25,714.28
  6. Step 6: Final answer
    x = 19,852.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.