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Finding the Fourth Proportional to 18,597.50, 27,897.87 and 4,746.50

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Solution

The fourth proportional to 18,597.50, 27,897.87 and 4,746.50 is: 7,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.50 : 27,897.87 = 4,746.50 : x
  2. Step 2: Convert to fraction form
    18,597.50/27,897.87 = 4,746.50/x
  3. Step 3: Cross multiply
    18,597.50x = 27,897.87 × 4,746.50
  4. Step 4: Simplify right side
    18,597.50x = 132,417,239.96
  5. Step 5: Solve for x
    x = 132,417,239.96/18,597.50
  6. Step 6: Final answer
    x = 7,120.16

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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.