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Finding the Fourth Proportional to 14,416.86, 19,893.78 and 10,642.02

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Solution

The fourth proportional to 14,416.86, 19,893.78 and 10,642.02 is: 14,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.86 : 19,893.78 = 10,642.02 : x
  2. Step 2: Convert to fraction form
    14,416.86/19,893.78 = 10,642.02/x
  3. Step 3: Cross multiply
    14,416.86x = 19,893.78 × 10,642.02
  4. Step 4: Simplify right side
    14,416.86x = 211,710,004.64
  5. Step 5: Solve for x
    x = 211,710,004.64/14,416.86
  6. Step 6: Final answer
    x = 14,684.89

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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.