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Finding the Fourth Proportional to 14,649.60, 20,216.16 and 9,057.36

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Solution

The fourth proportional to 14,649.60, 20,216.16 and 9,057.36 is: 12,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.60 : 20,216.16 = 9,057.36 : x
  2. Step 2: Convert to fraction form
    14,649.60/20,216.16 = 9,057.36/x
  3. Step 3: Cross multiply
    14,649.60x = 20,216.16 × 9,057.36
  4. Step 4: Simplify right side
    14,649.60x = 183,105,038.94
  5. Step 5: Solve for x
    x = 183,105,038.94/14,649.60
  6. Step 6: Final answer
    x = 12,498.98

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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.