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Finding the Fourth Proportional to 25,421.52, 35,080.54 and 14,091

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Solution

The fourth proportional to 25,421.52, 35,080.54 and 14,091 is: 19,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,421.52 : 35,080.54 = 14,091 : x
  2. Step 2: Convert to fraction form
    25,421.52/35,080.54 = 14,091/x
  3. Step 3: Cross multiply
    25,421.52x = 35,080.54 × 14,091
  4. Step 4: Simplify right side
    25,421.52x = 494,319,889.14
  5. Step 5: Solve for x
    x = 494,319,889.14/25,421.52
  6. Step 6: Final answer
    x = 19,444.94

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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.