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Finding the Fourth Proportional to 22,925.76, 31,636.96 and 12,716.74

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Solution

The fourth proportional to 22,925.76, 31,636.96 and 12,716.74 is: 17,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.76 : 31,636.96 = 12,716.74 : x
  2. Step 2: Convert to fraction form
    22,925.76/31,636.96 = 12,716.74/x
  3. Step 3: Cross multiply
    22,925.76x = 31,636.96 × 12,716.74
  4. Step 4: Simplify right side
    22,925.76x = 402,318,994.71
  5. Step 5: Solve for x
    x = 402,318,994.71/22,925.76
  6. Step 6: Final answer
    x = 17,548.77

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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.