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Finding the Fourth Proportional to 16,045.95, 24,058.68 and 7,709.38

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Solution

The fourth proportional to 16,045.95, 24,058.68 and 7,709.38 is: 11,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.95 : 24,058.68 = 7,709.38 : x
  2. Step 2: Convert to fraction form
    16,045.95/24,058.68 = 7,709.38/x
  3. Step 3: Cross multiply
    16,045.95x = 24,058.68 × 7,709.38
  4. Step 4: Simplify right side
    16,045.95x = 185,477,506.42
  5. Step 5: Solve for x
    x = 185,477,506.42/16,045.95
  6. Step 6: Final answer
    x = 11,559.15

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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.