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Finding the Fourth Proportional to 14,499, 19,978.98 and 13,714.80

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Solution

The fourth proportional to 14,499, 19,978.98 and 13,714.80 is: 18,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499 : 19,978.98 = 13,714.80 : x
  2. Step 2: Convert to fraction form
    14,499/19,978.98 = 13,714.80/x
  3. Step 3: Cross multiply
    14,499x = 19,978.98 × 13,714.80
  4. Step 4: Simplify right side
    14,499x = 274,007,714.90
  5. Step 5: Solve for x
    x = 274,007,714.90/14,499
  6. Step 6: Final answer
    x = 18,898.39

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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.