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Finding the Fourth Proportional to 16,413, 24,598.96 and 7,041.96

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Solution

The fourth proportional to 16,413, 24,598.96 and 7,041.96 is: 10,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 24,598.96 = 7,041.96 : x
  2. Step 2: Convert to fraction form
    16,413/24,598.96 = 7,041.96/x
  3. Step 3: Cross multiply
    16,413x = 24,598.96 × 7,041.96
  4. Step 4: Simplify right side
    16,413x = 173,224,892.36
  5. Step 5: Solve for x
    x = 173,224,892.36/16,413
  6. Step 6: Final answer
    x = 10,554.13

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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.