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Finding the Fourth Proportional to 21,967.32, 30,309.66 and 12,407.40

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Solution

The fourth proportional to 21,967.32, 30,309.66 and 12,407.40 is: 17,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.32 : 30,309.66 = 12,407.40 : x
  2. Step 2: Convert to fraction form
    21,967.32/30,309.66 = 12,407.40/x
  3. Step 3: Cross multiply
    21,967.32x = 30,309.66 × 12,407.40
  4. Step 4: Simplify right side
    21,967.32x = 376,064,075.48
  5. Step 5: Solve for x
    x = 376,064,075.48/21,967.32
  6. Step 6: Final answer
    x = 17,119.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.