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Finding the Fourth Proportional to 17,737.55, 24,477.67 and 9,779.60

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Solution

The fourth proportional to 17,737.55, 24,477.67 and 9,779.60 is: 13,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.55 : 24,477.67 = 9,779.60 : x
  2. Step 2: Convert to fraction form
    17,737.55/24,477.67 = 9,779.60/x
  3. Step 3: Cross multiply
    17,737.55x = 24,477.67 × 9,779.60
  4. Step 4: Simplify right side
    17,737.55x = 239,381,858.28
  5. Step 5: Solve for x
    x = 239,381,858.28/17,737.55
  6. Step 6: Final answer
    x = 13,495.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.