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Finding the Fourth Proportional to 14,866.08, 22,300.16 and 5,632

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Solution

The fourth proportional to 14,866.08, 22,300.16 and 5,632 is: 8,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.08 : 22,300.16 = 5,632 : x
  2. Step 2: Convert to fraction form
    14,866.08/22,300.16 = 5,632/x
  3. Step 3: Cross multiply
    14,866.08x = 22,300.16 × 5,632
  4. Step 4: Simplify right side
    14,866.08x = 125,594,501.12
  5. Step 5: Solve for x
    x = 125,594,501.12/14,866.08
  6. Step 6: Final answer
    x = 8,448.39

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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.