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Finding the Fourth Proportional to 20,598.51, 30,897.32 and 6,559.50

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Solution

The fourth proportional to 20,598.51, 30,897.32 and 6,559.50 is: 9,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.51 : 30,897.32 = 6,559.50 : x
  2. Step 2: Convert to fraction form
    20,598.51/30,897.32 = 6,559.50/x
  3. Step 3: Cross multiply
    20,598.51x = 30,897.32 × 6,559.50
  4. Step 4: Simplify right side
    20,598.51x = 202,671,090.50
  5. Step 5: Solve for x
    x = 202,671,090.50/20,598.51
  6. Step 6: Final answer
    x = 9,839.12

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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.