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Finding the Fourth Proportional to 21,830.00, 32,750.46 and 7,038.59

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Solution

The fourth proportional to 21,830.00, 32,750.46 and 7,038.59 is: 10,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.00 : 32,750.46 = 7,038.59 : x
  2. Step 2: Convert to fraction form
    21,830.00/32,750.46 = 7,038.59/x
  3. Step 3: Cross multiply
    21,830.00x = 32,750.46 × 7,038.59
  4. Step 4: Simplify right side
    21,830.00x = 230,516,896.50
  5. Step 5: Solve for x
    x = 230,516,896.50/21,830.00
  6. Step 6: Final answer
    x = 10,559.64

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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.