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Finding the Fourth Proportional to 15,662.74, 23,448.98 and 10,403

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Solution

The fourth proportional to 15,662.74, 23,448.98 and 10,403 is: 15,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.74 : 23,448.98 = 10,403 : x
  2. Step 2: Convert to fraction form
    15,662.74/23,448.98 = 10,403/x
  3. Step 3: Cross multiply
    15,662.74x = 23,448.98 × 10,403
  4. Step 4: Simplify right side
    15,662.74x = 243,939,686.93
  5. Step 5: Solve for x
    x = 243,939,686.93/15,662.74
  6. Step 6: Final answer
    x = 15,574.53

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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.