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Finding the Fourth Proportional to 12,864.88, 19,307.04 and 9,411.04

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Solution

The fourth proportional to 12,864.88, 19,307.04 and 9,411.04 is: 14,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.88 : 19,307.04 = 9,411.04 : x
  2. Step 2: Convert to fraction form
    12,864.88/19,307.04 = 9,411.04/x
  3. Step 3: Cross multiply
    12,864.88x = 19,307.04 × 9,411.04
  4. Step 4: Simplify right side
    12,864.88x = 181,699,325.72
  5. Step 5: Solve for x
    x = 181,699,325.72/12,864.88
  6. Step 6: Final answer
    x = 14,123.67

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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.