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Finding the Fourth Proportional to 22,746.32, 31,378.80 and 19,597.04

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Solution

The fourth proportional to 22,746.32, 31,378.80 and 19,597.04 is: 27,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.32 : 31,378.80 = 19,597.04 : x
  2. Step 2: Convert to fraction form
    22,746.32/31,378.80 = 19,597.04/x
  3. Step 3: Cross multiply
    22,746.32x = 31,378.80 × 19,597.04
  4. Step 4: Simplify right side
    22,746.32x = 614,931,598.75
  5. Step 5: Solve for x
    x = 614,931,598.75/22,746.32
  6. Step 6: Final answer
    x = 27,034.33

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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.