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Finding the Fourth Proportional to 15,430.48, 23,014.07 and 15,163.90

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Solution

The fourth proportional to 15,430.48, 23,014.07 and 15,163.90 is: 22,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.48 : 23,014.07 = 15,163.90 : x
  2. Step 2: Convert to fraction form
    15,430.48/23,014.07 = 15,163.90/x
  3. Step 3: Cross multiply
    15,430.48x = 23,014.07 × 15,163.90
  4. Step 4: Simplify right side
    15,430.48x = 348,983,056.07
  5. Step 5: Solve for x
    x = 348,983,056.07/15,430.48
  6. Step 6: Final answer
    x = 22,616.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.