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Finding the Fourth Proportional to 14,532.93, 20,050.27 and 9,500.05

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Solution

The fourth proportional to 14,532.93, 20,050.27 and 9,500.05 is: 13,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.93 : 20,050.27 = 9,500.05 : x
  2. Step 2: Convert to fraction form
    14,532.93/20,050.27 = 9,500.05/x
  3. Step 3: Cross multiply
    14,532.93x = 20,050.27 × 9,500.05
  4. Step 4: Simplify right side
    14,532.93x = 190,478,567.51
  5. Step 5: Solve for x
    x = 190,478,567.51/14,532.93
  6. Step 6: Final answer
    x = 13,106.69

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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.