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Finding the Fourth Proportional to 14,014.88, 19,332.24 and 9,841.76

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Solution

The fourth proportional to 14,014.88, 19,332.24 and 9,841.76 is: 13,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.88 : 19,332.24 = 9,841.76 : x
  2. Step 2: Convert to fraction form
    14,014.88/19,332.24 = 9,841.76/x
  3. Step 3: Cross multiply
    14,014.88x = 19,332.24 × 9,841.76
  4. Step 4: Simplify right side
    14,014.88x = 190,263,266.34
  5. Step 5: Solve for x
    x = 190,263,266.34/14,014.88
  6. Step 6: Final answer
    x = 13,575.80

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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.