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Finding the Fourth Proportional to 14,931.42, 20,599.16 and 9,264.26

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Solution

The fourth proportional to 14,931.42, 20,599.16 and 9,264.26 is: 12,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.42 : 20,599.16 = 9,264.26 : x
  2. Step 2: Convert to fraction form
    14,931.42/20,599.16 = 9,264.26/x
  3. Step 3: Cross multiply
    14,931.42x = 20,599.16 × 9,264.26
  4. Step 4: Simplify right side
    14,931.42x = 190,835,824.70
  5. Step 5: Solve for x
    x = 190,835,824.70/14,931.42
  6. Step 6: Final answer
    x = 12,780.82

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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.