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Finding the Fourth Proportional to 30,666.50, 46,006.23 and 9,888.38

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Solution

The fourth proportional to 30,666.50, 46,006.23 and 9,888.38 is: 14,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.50 : 46,006.23 = 9,888.38 : x
  2. Step 2: Convert to fraction form
    30,666.50/46,006.23 = 9,888.38/x
  3. Step 3: Cross multiply
    30,666.50x = 46,006.23 × 9,888.38
  4. Step 4: Simplify right side
    30,666.50x = 454,926,854.58
  5. Step 5: Solve for x
    x = 454,926,854.58/30,666.50
  6. Step 6: Final answer
    x = 14,834.65

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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.