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Finding the Fourth Proportional to 14,496.32, 21,740.16 and 5,260.16

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Solution

The fourth proportional to 14,496.32, 21,740.16 and 5,260.16 is: 7,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.32 : 21,740.16 = 5,260.16 : x
  2. Step 2: Convert to fraction form
    14,496.32/21,740.16 = 5,260.16/x
  3. Step 3: Cross multiply
    14,496.32x = 21,740.16 × 5,260.16
  4. Step 4: Simplify right side
    14,496.32x = 114,356,720.03
  5. Step 5: Solve for x
    x = 114,356,720.03/14,496.32
  6. Step 6: Final answer
    x = 7,888.67

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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.