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Finding the Fourth Proportional to 27,802.77, 38,368.47 and 15,867.22

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Solution

The fourth proportional to 27,802.77, 38,368.47 and 15,867.22 is: 21,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.77 : 38,368.47 = 15,867.22 : x
  2. Step 2: Convert to fraction form
    27,802.77/38,368.47 = 15,867.22/x
  3. Step 3: Cross multiply
    27,802.77x = 38,368.47 × 15,867.22
  4. Step 4: Simplify right side
    27,802.77x = 608,800,875.22
  5. Step 5: Solve for x
    x = 608,800,875.22/27,802.77
  6. Step 6: Final answer
    x = 21,897.13

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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.