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Finding the Fourth Proportional to 19,708.06, 27,197.74 and 10,756.40

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Solution

The fourth proportional to 19,708.06, 27,197.74 and 10,756.40 is: 14,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.06 : 27,197.74 = 10,756.40 : x
  2. Step 2: Convert to fraction form
    19,708.06/27,197.74 = 10,756.40/x
  3. Step 3: Cross multiply
    19,708.06x = 27,197.74 × 10,756.40
  4. Step 4: Simplify right side
    19,708.06x = 292,549,602.61
  5. Step 5: Solve for x
    x = 292,549,602.61/19,708.06
  6. Step 6: Final answer
    x = 14,844.16

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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.