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Finding the Fourth Proportional to 15,642.81, 23,448.42 and 9,803.52

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Solution

The fourth proportional to 15,642.81, 23,448.42 and 9,803.52 is: 14,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.81 : 23,448.42 = 9,803.52 : x
  2. Step 2: Convert to fraction form
    15,642.81/23,448.42 = 9,803.52/x
  3. Step 3: Cross multiply
    15,642.81x = 23,448.42 × 9,803.52
  4. Step 4: Simplify right side
    15,642.81x = 229,877,054.44
  5. Step 5: Solve for x
    x = 229,877,054.44/15,642.81
  6. Step 6: Final answer
    x = 14,695.38

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1.5x scale

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.