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Finding the Fourth Proportional to 13,070.02, 19,594 and 5,668.90

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Solution

The fourth proportional to 13,070.02, 19,594 and 5,668.90 is: 8,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.02 : 19,594 = 5,668.90 : x
  2. Step 2: Convert to fraction form
    13,070.02/19,594 = 5,668.90/x
  3. Step 3: Cross multiply
    13,070.02x = 19,594 × 5,668.90
  4. Step 4: Simplify right side
    13,070.02x = 111,076,426.60
  5. Step 5: Solve for x
    x = 111,076,426.60/13,070.02
  6. Step 6: Final answer
    x = 8,498.57

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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.