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Finding the Fourth Proportional to 16,417.35, 24,586.54 and 9,376.02

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Solution

The fourth proportional to 16,417.35, 24,586.54 and 9,376.02 is: 14,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.35 : 24,586.54 = 9,376.02 : x
  2. Step 2: Convert to fraction form
    16,417.35/24,586.54 = 9,376.02/x
  3. Step 3: Cross multiply
    16,417.35x = 24,586.54 × 9,376.02
  4. Step 4: Simplify right side
    16,417.35x = 230,523,890.77
  5. Step 5: Solve for x
    x = 230,523,890.77/16,417.35
  6. Step 6: Final answer
    x = 14,041.48

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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.