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Finding the Fourth Proportional to 15,730.88, 23,510.48 and 14,485.44

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Solution

The fourth proportional to 15,730.88, 23,510.48 and 14,485.44 is: 21,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.88 : 23,510.48 = 14,485.44 : x
  2. Step 2: Convert to fraction form
    15,730.88/23,510.48 = 14,485.44/x
  3. Step 3: Cross multiply
    15,730.88x = 23,510.48 × 14,485.44
  4. Step 4: Simplify right side
    15,730.88x = 340,559,647.41
  5. Step 5: Solve for x
    x = 340,559,647.41/15,730.88
  6. Step 6: Final answer
    x = 21,649.12

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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.