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Finding the Fourth Proportional to 19,802.36, 27,312.25 and 12,634.47

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Solution

The fourth proportional to 19,802.36, 27,312.25 and 12,634.47 is: 17,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.36 : 27,312.25 = 12,634.47 : x
  2. Step 2: Convert to fraction form
    19,802.36/27,312.25 = 12,634.47/x
  3. Step 3: Cross multiply
    19,802.36x = 27,312.25 × 12,634.47
  4. Step 4: Simplify right side
    19,802.36x = 345,075,803.26
  5. Step 5: Solve for x
    x = 345,075,803.26/19,802.36
  6. Step 6: Final answer
    x = 17,425.99

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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.