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Finding the Fourth Proportional to 25,567, 35,285.70 and 14,391.16

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Solution

The fourth proportional to 25,567, 35,285.70 and 14,391.16 is: 19,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,567 : 35,285.70 = 14,391.16 : x
  2. Step 2: Convert to fraction form
    25,567/35,285.70 = 14,391.16/x
  3. Step 3: Cross multiply
    25,567x = 35,285.70 × 14,391.16
  4. Step 4: Simplify right side
    25,567x = 507,802,154.41
  5. Step 5: Solve for x
    x = 507,802,154.41/25,567
  6. Step 6: Final answer
    x = 19,861.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.