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Finding the Fourth Proportional to 19,448.64, 29,155.68 and 7,128

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Solution

The fourth proportional to 19,448.64, 29,155.68 and 7,128 is: 10,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448.64 : 29,155.68 = 7,128 : x
  2. Step 2: Convert to fraction form
    19,448.64/29,155.68 = 7,128/x
  3. Step 3: Cross multiply
    19,448.64x = 29,155.68 × 7,128
  4. Step 4: Simplify right side
    19,448.64x = 207,821,687.04
  5. Step 5: Solve for x
    x = 207,821,687.04/19,448.64
  6. Step 6: Final answer
    x = 10,685.67

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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.