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Finding the Fourth Proportional to 14,357.86, 19,823.64 and 11,711.59

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Solution

The fourth proportional to 14,357.86, 19,823.64 and 11,711.59 is: 16,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.86 : 19,823.64 = 11,711.59 : x
  2. Step 2: Convert to fraction form
    14,357.86/19,823.64 = 11,711.59/x
  3. Step 3: Cross multiply
    14,357.86x = 19,823.64 × 11,711.59
  4. Step 4: Simplify right side
    14,357.86x = 232,166,250.51
  5. Step 5: Solve for x
    x = 232,166,250.51/14,357.86
  6. Step 6: Final answer
    x = 16,169.98

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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.