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Finding the Fourth Proportional to 23,762.52, 32,798.12 and 14,208.07

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Solution

The fourth proportional to 23,762.52, 32,798.12 and 14,208.07 is: 19,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.52 : 32,798.12 = 14,208.07 : x
  2. Step 2: Convert to fraction form
    23,762.52/32,798.12 = 14,208.07/x
  3. Step 3: Cross multiply
    23,762.52x = 32,798.12 × 14,208.07
  4. Step 4: Simplify right side
    23,762.52x = 465,997,938.35
  5. Step 5: Solve for x
    x = 465,997,938.35/23,762.52
  6. Step 6: Final answer
    x = 19,610.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.