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Finding the Fourth Proportional to 15,795.71, 21,802.25 and 9,823.98

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Solution

The fourth proportional to 15,795.71, 21,802.25 and 9,823.98 is: 13,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795.71 : 21,802.25 = 9,823.98 : x
  2. Step 2: Convert to fraction form
    15,795.71/21,802.25 = 9,823.98/x
  3. Step 3: Cross multiply
    15,795.71x = 21,802.25 × 9,823.98
  4. Step 4: Simplify right side
    15,795.71x = 214,184,892.51
  5. Step 5: Solve for x
    x = 214,184,892.51/15,795.71
  6. Step 6: Final answer
    x = 13,559.69

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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.