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Finding the Fourth Proportional to 13,673.01, 20,509.53 and 5,880

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Solution

The fourth proportional to 13,673.01, 20,509.53 and 5,880 is: 8,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.01 : 20,509.53 = 5,880 : x
  2. Step 2: Convert to fraction form
    13,673.01/20,509.53 = 5,880/x
  3. Step 3: Cross multiply
    13,673.01x = 20,509.53 × 5,880
  4. Step 4: Simplify right side
    13,673.01x = 120,596,036.40
  5. Step 5: Solve for x
    x = 120,596,036.40/13,673.01
  6. Step 6: Final answer
    x = 8,820.01

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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.