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Finding the Fourth Proportional to 14,008.80, 19,281.60 and 9,809.76

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Solution

The fourth proportional to 14,008.80, 19,281.60 and 9,809.76 is: 13,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.80 : 19,281.60 = 9,809.76 : x
  2. Step 2: Convert to fraction form
    14,008.80/19,281.60 = 9,809.76/x
  3. Step 3: Cross multiply
    14,008.80x = 19,281.60 × 9,809.76
  4. Step 4: Simplify right side
    14,008.80x = 189,147,868.42
  5. Step 5: Solve for x
    x = 189,147,868.42/14,008.80
  6. Step 6: Final answer
    x = 13,502.08

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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.