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Finding the Fourth Proportional to 21,476.80, 29,662 and 14,782.96

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Solution

The fourth proportional to 21,476.80, 29,662 and 14,782.96 is: 20,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.80 : 29,662 = 14,782.96 : x
  2. Step 2: Convert to fraction form
    21,476.80/29,662 = 14,782.96/x
  3. Step 3: Cross multiply
    21,476.80x = 29,662 × 14,782.96
  4. Step 4: Simplify right side
    21,476.80x = 438,492,159.52
  5. Step 5: Solve for x
    x = 438,492,159.52/21,476.80
  6. Step 6: Final answer
    x = 20,417.02

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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.