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Finding the Fourth Proportional to 25,714.40, 35,482.32 and 14,383.31

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Solution

The fourth proportional to 25,714.40, 35,482.32 and 14,383.31 is: 19,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.40 : 35,482.32 = 14,383.31 : x
  2. Step 2: Convert to fraction form
    25,714.40/35,482.32 = 14,383.31/x
  3. Step 3: Cross multiply
    25,714.40x = 35,482.32 × 14,383.31
  4. Step 4: Simplify right side
    25,714.40x = 510,353,030.67
  5. Step 5: Solve for x
    x = 510,353,030.67/25,714.40
  6. Step 6: Final answer
    x = 19,846.98

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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.