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Finding the Fourth Proportional to 18,289.19, 27,430.98 and 5,807.60

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Solution

The fourth proportional to 18,289.19, 27,430.98 and 5,807.60 is: 8,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.19 : 27,430.98 = 5,807.60 : x
  2. Step 2: Convert to fraction form
    18,289.19/27,430.98 = 5,807.60/x
  3. Step 3: Cross multiply
    18,289.19x = 27,430.98 × 5,807.60
  4. Step 4: Simplify right side
    18,289.19x = 159,308,022.29
  5. Step 5: Solve for x
    x = 159,308,022.29/18,289.19
  6. Step 6: Final answer
    x = 8,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.