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Finding the Fourth Proportional to 16,470.78, 22,714.64 and 14,089.74

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Solution

The fourth proportional to 16,470.78, 22,714.64 and 14,089.74 is: 19,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.78 : 22,714.64 = 14,089.74 : x
  2. Step 2: Convert to fraction form
    16,470.78/22,714.64 = 14,089.74/x
  3. Step 3: Cross multiply
    16,470.78x = 22,714.64 × 14,089.74
  4. Step 4: Simplify right side
    16,470.78x = 320,043,371.79
  5. Step 5: Solve for x
    x = 320,043,371.79/16,470.78
  6. Step 6: Final answer
    x = 19,430.98

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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.