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Finding the Fourth Proportional to 30,323.16, 45,500.22 and 12,567.24

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Solution

The fourth proportional to 30,323.16, 45,500.22 and 12,567.24 is: 18,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,323.16 : 45,500.22 = 12,567.24 : x
  2. Step 2: Convert to fraction form
    30,323.16/45,500.22 = 12,567.24/x
  3. Step 3: Cross multiply
    30,323.16x = 45,500.22 × 12,567.24
  4. Step 4: Simplify right side
    30,323.16x = 571,812,184.79
  5. Step 5: Solve for x
    x = 571,812,184.79/30,323.16
  6. Step 6: Final answer
    x = 18,857.28

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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.