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Finding the Fourth Proportional to 12,865.68, 19,307.12 and 4,545.76

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Solution

The fourth proportional to 12,865.68, 19,307.12 and 4,545.76 is: 6,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.68 : 19,307.12 = 4,545.76 : x
  2. Step 2: Convert to fraction form
    12,865.68/19,307.12 = 4,545.76/x
  3. Step 3: Cross multiply
    12,865.68x = 19,307.12 × 4,545.76
  4. Step 4: Simplify right side
    12,865.68x = 87,765,533.81
  5. Step 5: Solve for x
    x = 87,765,533.81/12,865.68
  6. Step 6: Final answer
    x = 6,821.68

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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.