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Finding the Fourth Proportional to 14,205.83, 21,308.74 and 4,856.40

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Solution

The fourth proportional to 14,205.83, 21,308.74 and 4,856.40 is: 7,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.83 : 21,308.74 = 4,856.40 : x
  2. Step 2: Convert to fraction form
    14,205.83/21,308.74 = 4,856.40/x
  3. Step 3: Cross multiply
    14,205.83x = 21,308.74 × 4,856.40
  4. Step 4: Simplify right side
    14,205.83x = 103,483,752.80
  5. Step 5: Solve for x
    x = 103,483,752.80/14,205.83
  6. Step 6: Final answer
    x = 7,284.60

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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.