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Finding the Fourth Proportional to 25,000.16, 37,492.60 and 13,147.50

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Solution

The fourth proportional to 25,000.16, 37,492.60 and 13,147.50 is: 19,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000.16 : 37,492.60 = 13,147.50 : x
  2. Step 2: Convert to fraction form
    25,000.16/37,492.60 = 13,147.50/x
  3. Step 3: Cross multiply
    25,000.16x = 37,492.60 × 13,147.50
  4. Step 4: Simplify right side
    25,000.16x = 492,933,847.12
  5. Step 5: Solve for x
    x = 492,933,847.12/25,000.16
  6. Step 6: Final answer
    x = 19,717.23

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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.