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Finding the Fourth Proportional to 14,334.24, 19,776.24 and 9,029.28

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Solution

The fourth proportional to 14,334.24, 19,776.24 and 9,029.28 is: 12,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.24 : 19,776.24 = 9,029.28 : x
  2. Step 2: Convert to fraction form
    14,334.24/19,776.24 = 9,029.28/x
  3. Step 3: Cross multiply
    14,334.24x = 19,776.24 × 9,029.28
  4. Step 4: Simplify right side
    14,334.24x = 178,565,208.31
  5. Step 5: Solve for x
    x = 178,565,208.31/14,334.24
  6. Step 6: Final answer
    x = 12,457.25

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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.