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Finding the Fourth Proportional to 16,503.98, 24,762.45 and 7,263.50

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Solution

The fourth proportional to 16,503.98, 24,762.45 and 7,263.50 is: 10,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.98 : 24,762.45 = 7,263.50 : x
  2. Step 2: Convert to fraction form
    16,503.98/24,762.45 = 7,263.50/x
  3. Step 3: Cross multiply
    16,503.98x = 24,762.45 × 7,263.50
  4. Step 4: Simplify right side
    16,503.98x = 179,862,055.58
  5. Step 5: Solve for x
    x = 179,862,055.58/16,503.98
  6. Step 6: Final answer
    x = 10,898.10

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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.