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Finding the Fourth Proportional to 21,714.68, 29,970.91 and 14,147.46

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Solution

The fourth proportional to 21,714.68, 29,970.91 and 14,147.46 is: 19,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.68 : 29,970.91 = 14,147.46 : x
  2. Step 2: Convert to fraction form
    21,714.68/29,970.91 = 14,147.46/x
  3. Step 3: Cross multiply
    21,714.68x = 29,970.91 × 14,147.46
  4. Step 4: Simplify right side
    21,714.68x = 424,012,268.07
  5. Step 5: Solve for x
    x = 424,012,268.07/21,714.68
  6. Step 6: Final answer
    x = 19,526.52

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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.