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Finding the Fourth Proportional to 25,714.36, 35,489.10 and 14,384.48

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Solution

The fourth proportional to 25,714.36, 35,489.10 and 14,384.48 is: 19,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.36 : 35,489.10 = 14,384.48 : x
  2. Step 2: Convert to fraction form
    25,714.36/35,489.10 = 14,384.48/x
  3. Step 3: Cross multiply
    25,714.36x = 35,489.10 × 14,384.48
  4. Step 4: Simplify right side
    25,714.36x = 510,492,337.89
  5. Step 5: Solve for x
    x = 510,492,337.89/25,714.36
  6. Step 6: Final answer
    x = 19,852.42

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1.5x scale

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.