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Finding the Fourth Proportional to 25,296.86, 34,909.64 and 14,118.86

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Solution

The fourth proportional to 25,296.86, 34,909.64 and 14,118.86 is: 19,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.86 : 34,909.64 = 14,118.86 : x
  2. Step 2: Convert to fraction form
    25,296.86/34,909.64 = 14,118.86/x
  3. Step 3: Cross multiply
    25,296.86x = 34,909.64 × 14,118.86
  4. Step 4: Simplify right side
    25,296.86x = 492,884,319.81
  5. Step 5: Solve for x
    x = 492,884,319.81/25,296.86
  6. Step 6: Final answer
    x = 19,484.01

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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.