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Finding the Fourth Proportional to 13,064, 19,583.04 and 7,223.36

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Solution

The fourth proportional to 13,064, 19,583.04 and 7,223.36 is: 10,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064 : 19,583.04 = 7,223.36 : x
  2. Step 2: Convert to fraction form
    13,064/19,583.04 = 7,223.36/x
  3. Step 3: Cross multiply
    13,064x = 19,583.04 × 7,223.36
  4. Step 4: Simplify right side
    13,064x = 141,455,347.81
  5. Step 5: Solve for x
    x = 141,455,347.81/13,064
  6. Step 6: Final answer
    x = 10,827.87

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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.