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Finding the Fourth Proportional to 19,322, 26,664.36 and 10,490

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Solution

The fourth proportional to 19,322, 26,664.36 and 10,490 is: 14,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322 : 26,664.36 = 10,490 : x
  2. Step 2: Convert to fraction form
    19,322/26,664.36 = 10,490/x
  3. Step 3: Cross multiply
    19,322x = 26,664.36 × 10,490
  4. Step 4: Simplify right side
    19,322x = 279,709,136.40
  5. Step 5: Solve for x
    x = 279,709,136.40/19,322
  6. Step 6: Final answer
    x = 14,476.20

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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.