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Finding the Fourth Proportional to 14,599.04, 20,146.92 and 8,312

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Solution

The fourth proportional to 14,599.04, 20,146.92 and 8,312 is: 11,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.04 : 20,146.92 = 8,312 : x
  2. Step 2: Convert to fraction form
    14,599.04/20,146.92 = 8,312/x
  3. Step 3: Cross multiply
    14,599.04x = 20,146.92 × 8,312
  4. Step 4: Simplify right side
    14,599.04x = 167,461,199.04
  5. Step 5: Solve for x
    x = 167,461,199.04/14,599.04
  6. Step 6: Final answer
    x = 11,470.70

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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.