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Finding the Fourth Proportional to 16,347.08, 24,501.16 and 9,407

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Solution

The fourth proportional to 16,347.08, 24,501.16 and 9,407 is: 14,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.08 : 24,501.16 = 9,407 : x
  2. Step 2: Convert to fraction form
    16,347.08/24,501.16 = 9,407/x
  3. Step 3: Cross multiply
    16,347.08x = 24,501.16 × 9,407
  4. Step 4: Simplify right side
    16,347.08x = 230,482,412.12
  5. Step 5: Solve for x
    x = 230,482,412.12/16,347.08
  6. Step 6: Final answer
    x = 14,099.30

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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.