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Finding the Fourth Proportional to 16,397.45, 24,596.19 and 7,031.42

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Solution

The fourth proportional to 16,397.45, 24,596.19 and 7,031.42 is: 10,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.45 : 24,596.19 = 7,031.42 : x
  2. Step 2: Convert to fraction form
    16,397.45/24,596.19 = 7,031.42/x
  3. Step 3: Cross multiply
    16,397.45x = 24,596.19 × 7,031.42
  4. Step 4: Simplify right side
    16,397.45x = 172,946,019.31
  5. Step 5: Solve for x
    x = 172,946,019.31/16,397.45
  6. Step 6: Final answer
    x = 10,547.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.