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Finding the Fourth Proportional to 16,303.72, 24,455.58 and 7,069

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Solution

The fourth proportional to 16,303.72, 24,455.58 and 7,069 is: 10,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.72 : 24,455.58 = 7,069 : x
  2. Step 2: Convert to fraction form
    16,303.72/24,455.58 = 7,069/x
  3. Step 3: Cross multiply
    16,303.72x = 24,455.58 × 7,069
  4. Step 4: Simplify right side
    16,303.72x = 172,876,495.02
  5. Step 5: Solve for x
    x = 172,876,495.02/16,303.72
  6. Step 6: Final answer
    x = 10,603.50

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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.