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Finding the Fourth Proportional to 25,349.98, 37,998.16 and 9,548.17

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Solution

The fourth proportional to 25,349.98, 37,998.16 and 9,548.17 is: 14,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.98 : 37,998.16 = 9,548.17 : x
  2. Step 2: Convert to fraction form
    25,349.98/37,998.16 = 9,548.17/x
  3. Step 3: Cross multiply
    25,349.98x = 37,998.16 × 9,548.17
  4. Step 4: Simplify right side
    25,349.98x = 362,812,990.63
  5. Step 5: Solve for x
    x = 362,812,990.63/25,349.98
  6. Step 6: Final answer
    x = 14,312.16

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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.