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Finding the Fourth Proportional to 12,533.86, 18,798.45 and 6,292.20

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Solution

The fourth proportional to 12,533.86, 18,798.45 and 6,292.20 is: 9,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.86 : 18,798.45 = 6,292.20 : x
  2. Step 2: Convert to fraction form
    12,533.86/18,798.45 = 6,292.20/x
  3. Step 3: Cross multiply
    12,533.86x = 18,798.45 × 6,292.20
  4. Step 4: Simplify right side
    12,533.86x = 118,283,607.09
  5. Step 5: Solve for x
    x = 118,283,607.09/12,533.86
  6. Step 6: Final answer
    x = 9,437.13

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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.