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Finding the Fourth Proportional to 25,715.10, 35,487 and 14,966.36

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Solution

The fourth proportional to 25,715.10, 35,487 and 14,966.36 is: 20,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.10 : 35,487 = 14,966.36 : x
  2. Step 2: Convert to fraction form
    25,715.10/35,487 = 14,966.36/x
  3. Step 3: Cross multiply
    25,715.10x = 35,487 × 14,966.36
  4. Step 4: Simplify right side
    25,715.10x = 531,111,217.32
  5. Step 5: Solve for x
    x = 531,111,217.32/25,715.10
  6. Step 6: Final answer
    x = 20,653.67

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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.