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Finding the Fourth Proportional to 25,186.96, 37,746.42 and 9,596.08

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Solution

The fourth proportional to 25,186.96, 37,746.42 and 9,596.08 is: 14,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.96 : 37,746.42 = 9,596.08 : x
  2. Step 2: Convert to fraction form
    25,186.96/37,746.42 = 9,596.08/x
  3. Step 3: Cross multiply
    25,186.96x = 37,746.42 × 9,596.08
  4. Step 4: Simplify right side
    25,186.96x = 362,217,666.03
  5. Step 5: Solve for x
    x = 362,217,666.03/25,186.96
  6. Step 6: Final answer
    x = 14,381.16

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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.