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Finding the Fourth Proportional to 25,052.64, 37,596 and 13,374.24

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Solution

The fourth proportional to 25,052.64, 37,596 and 13,374.24 is: 20,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.64 : 37,596 = 13,374.24 : x
  2. Step 2: Convert to fraction form
    25,052.64/37,596 = 13,374.24/x
  3. Step 3: Cross multiply
    25,052.64x = 37,596 × 13,374.24
  4. Step 4: Simplify right side
    25,052.64x = 502,817,927.04
  5. Step 5: Solve for x
    x = 502,817,927.04/25,052.64
  6. Step 6: Final answer
    x = 20,070.46

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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.