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Finding the Fourth Proportional to 14,649.60, 21,988.80 and 7,262.40

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Solution

The fourth proportional to 14,649.60, 21,988.80 and 7,262.40 is: 10,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.60 : 21,988.80 = 7,262.40 : x
  2. Step 2: Convert to fraction form
    14,649.60/21,988.80 = 7,262.40/x
  3. Step 3: Cross multiply
    14,649.60x = 21,988.80 × 7,262.40
  4. Step 4: Simplify right side
    14,649.60x = 159,691,461.12
  5. Step 5: Solve for x
    x = 159,691,461.12/14,649.60
  6. Step 6: Final answer
    x = 10,900.74

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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.