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Finding the Fourth Proportional to 23,653.48, 32,641.36 and 12,898.48

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Solution

The fourth proportional to 23,653.48, 32,641.36 and 12,898.48 is: 17,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.48 : 32,641.36 = 12,898.48 : x
  2. Step 2: Convert to fraction form
    23,653.48/32,641.36 = 12,898.48/x
  3. Step 3: Cross multiply
    23,653.48x = 32,641.36 × 12,898.48
  4. Step 4: Simplify right side
    23,653.48x = 421,023,929.13
  5. Step 5: Solve for x
    x = 421,023,929.13/23,653.48
  6. Step 6: Final answer
    x = 17,799.66

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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.