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Finding the Fourth Proportional to 15,802.58, 21,811.74 and 9,830.86

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Solution

The fourth proportional to 15,802.58, 21,811.74 and 9,830.86 is: 13,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.58 : 21,811.74 = 9,830.86 : x
  2. Step 2: Convert to fraction form
    15,802.58/21,811.74 = 9,830.86/x
  3. Step 3: Cross multiply
    15,802.58x = 21,811.74 × 9,830.86
  4. Step 4: Simplify right side
    15,802.58x = 214,428,162.30
  5. Step 5: Solve for x
    x = 214,428,162.30/15,802.58
  6. Step 6: Final answer
    x = 13,569.19

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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.