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Finding the Fourth Proportional to 22,656.40, 33,913.86 and 14,323.93

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Solution

The fourth proportional to 22,656.40, 33,913.86 and 14,323.93 is: 21,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.40 : 33,913.86 = 14,323.93 : x
  2. Step 2: Convert to fraction form
    22,656.40/33,913.86 = 14,323.93/x
  3. Step 3: Cross multiply
    22,656.40x = 33,913.86 × 14,323.93
  4. Step 4: Simplify right side
    22,656.40x = 485,779,756.67
  5. Step 5: Solve for x
    x = 485,779,756.67/22,656.40
  6. Step 6: Final answer
    x = 21,441.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.