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Finding the Fourth Proportional to 14,290.48, 19,700.16 and 9,807.20

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Solution

The fourth proportional to 14,290.48, 19,700.16 and 9,807.20 is: 13,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.48 : 19,700.16 = 9,807.20 : x
  2. Step 2: Convert to fraction form
    14,290.48/19,700.16 = 9,807.20/x
  3. Step 3: Cross multiply
    14,290.48x = 19,700.16 × 9,807.20
  4. Step 4: Simplify right side
    14,290.48x = 193,203,409.15
  5. Step 5: Solve for x
    x = 193,203,409.15/14,290.48
  6. Step 6: Final answer
    x = 13,519.73

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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.