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Finding the Fourth Proportional to 21,739.40, 32,609.10 and 10,075.40

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Solution

The fourth proportional to 21,739.40, 32,609.10 and 10,075.40 is: 15,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,739.40 : 32,609.10 = 10,075.40 : x
  2. Step 2: Convert to fraction form
    21,739.40/32,609.10 = 10,075.40/x
  3. Step 3: Cross multiply
    21,739.40x = 32,609.10 × 10,075.40
  4. Step 4: Simplify right side
    21,739.40x = 328,549,726.14
  5. Step 5: Solve for x
    x = 328,549,726.14/21,739.40
  6. Step 6: Final answer
    x = 15,113.10

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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.