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Finding the Fourth Proportional to 21,458.81, 32,146.70 and 12,070.30

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Solution

The fourth proportional to 21,458.81, 32,146.70 and 12,070.30 is: 18,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.81 : 32,146.70 = 12,070.30 : x
  2. Step 2: Convert to fraction form
    21,458.81/32,146.70 = 12,070.30/x
  3. Step 3: Cross multiply
    21,458.81x = 32,146.70 × 12,070.30
  4. Step 4: Simplify right side
    21,458.81x = 388,020,313.01
  5. Step 5: Solve for x
    x = 388,020,313.01/21,458.81
  6. Step 6: Final answer
    x = 18,082.10

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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.