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Finding the Fourth Proportional to 21,021.12, 31,527.72 and 7,870.68

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Solution

The fourth proportional to 21,021.12, 31,527.72 and 7,870.68 is: 11,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.12 : 31,527.72 = 7,870.68 : x
  2. Step 2: Convert to fraction form
    21,021.12/31,527.72 = 7,870.68/x
  3. Step 3: Cross multiply
    21,021.12x = 31,527.72 × 7,870.68
  4. Step 4: Simplify right side
    21,021.12x = 248,144,595.25
  5. Step 5: Solve for x
    x = 248,144,595.25/21,021.12
  6. Step 6: Final answer
    x = 11,804.54

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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.