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Finding the Fourth Proportional to 14,402.24, 21,557.76 and 9,460.16

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Solution

The fourth proportional to 14,402.24, 21,557.76 and 9,460.16 is: 14,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.24 : 21,557.76 = 9,460.16 : x
  2. Step 2: Convert to fraction form
    14,402.24/21,557.76 = 9,460.16/x
  3. Step 3: Cross multiply
    14,402.24x = 21,557.76 × 9,460.16
  4. Step 4: Simplify right side
    14,402.24x = 203,939,858.84
  5. Step 5: Solve for x
    x = 203,939,858.84/14,402.24
  6. Step 6: Final answer
    x = 14,160.29

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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.