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Finding the Fourth Proportional to 26,302.42, 39,430.18 and 9,658.64

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Solution

The fourth proportional to 26,302.42, 39,430.18 and 9,658.64 is: 14,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.42 : 39,430.18 = 9,658.64 : x
  2. Step 2: Convert to fraction form
    26,302.42/39,430.18 = 9,658.64/x
  3. Step 3: Cross multiply
    26,302.42x = 39,430.18 × 9,658.64
  4. Step 4: Simplify right side
    26,302.42x = 380,841,913.76
  5. Step 5: Solve for x
    x = 380,841,913.76/26,302.42
  6. Step 6: Final answer
    x = 14,479.35

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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.