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Finding the Fourth Proportional to 15,724, 21,681.40 and 12,130.78

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Solution

The fourth proportional to 15,724, 21,681.40 and 12,130.78 is: 16,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 21,681.40 = 12,130.78 : x
  2. Step 2: Convert to fraction form
    15,724/21,681.40 = 12,130.78/x
  3. Step 3: Cross multiply
    15,724x = 21,681.40 × 12,130.78
  4. Step 4: Simplify right side
    15,724x = 263,012,293.49
  5. Step 5: Solve for x
    x = 263,012,293.49/15,724
  6. Step 6: Final answer
    x = 16,726.81

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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.