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Finding the Fourth Proportional to 14,592.64, 21,854.40 and 11,505.28

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Solution

The fourth proportional to 14,592.64, 21,854.40 and 11,505.28 is: 17,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.64 : 21,854.40 = 11,505.28 : x
  2. Step 2: Convert to fraction form
    14,592.64/21,854.40 = 11,505.28/x
  3. Step 3: Cross multiply
    14,592.64x = 21,854.40 × 11,505.28
  4. Step 4: Simplify right side
    14,592.64x = 251,440,991.23
  5. Step 5: Solve for x
    x = 251,440,991.23/14,592.64
  6. Step 6: Final answer
    x = 17,230.67

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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.