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Finding the Fourth Proportional to 21,567.68, 29,784.48 and 14,120

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Solution

The fourth proportional to 21,567.68, 29,784.48 and 14,120 is: 19,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.68 : 29,784.48 = 14,120 : x
  2. Step 2: Convert to fraction form
    21,567.68/29,784.48 = 14,120/x
  3. Step 3: Cross multiply
    21,567.68x = 29,784.48 × 14,120
  4. Step 4: Simplify right side
    21,567.68x = 420,556,857.60
  5. Step 5: Solve for x
    x = 420,556,857.60/21,567.68
  6. Step 6: Final answer
    x = 19,499.40

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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.