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Finding the Fourth Proportional to 25,203.02, 37,810.74 and 10,416.17

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Solution

The fourth proportional to 25,203.02, 37,810.74 and 10,416.17 is: 15,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.02 : 37,810.74 = 10,416.17 : x
  2. Step 2: Convert to fraction form
    25,203.02/37,810.74 = 10,416.17/x
  3. Step 3: Cross multiply
    25,203.02x = 37,810.74 × 10,416.17
  4. Step 4: Simplify right side
    25,203.02x = 393,842,906.61
  5. Step 5: Solve for x
    x = 393,842,906.61/25,203.02
  6. Step 6: Final answer
    x = 15,626.82

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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.