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Finding the Fourth Proportional to 19,824, 27,357.50 and 10,870.98

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Solution

The fourth proportional to 19,824, 27,357.50 and 10,870.98 is: 15,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 27,357.50 = 10,870.98 : x
  2. Step 2: Convert to fraction form
    19,824/27,357.50 = 10,870.98/x
  3. Step 3: Cross multiply
    19,824x = 27,357.50 × 10,870.98
  4. Step 4: Simplify right side
    19,824x = 297,402,835.35
  5. Step 5: Solve for x
    x = 297,402,835.35/19,824
  6. Step 6: Final answer
    x = 15,002.16

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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.