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Finding the Fourth Proportional to 12,152.29, 18,224.95 and 5,133.90

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Solution

The fourth proportional to 12,152.29, 18,224.95 and 5,133.90 is: 7,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.29 : 18,224.95 = 5,133.90 : x
  2. Step 2: Convert to fraction form
    12,152.29/18,224.95 = 5,133.90/x
  3. Step 3: Cross multiply
    12,152.29x = 18,224.95 × 5,133.90
  4. Step 4: Simplify right side
    12,152.29x = 93,565,070.81
  5. Step 5: Solve for x
    x = 93,565,070.81/12,152.29
  6. Step 6: Final answer
    x = 7,699.38

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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.