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Finding the Fourth Proportional to 14,783.84, 20,405.04 and 10,070

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Solution

The fourth proportional to 14,783.84, 20,405.04 and 10,070 is: 13,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.84 : 20,405.04 = 10,070 : x
  2. Step 2: Convert to fraction form
    14,783.84/20,405.04 = 10,070/x
  3. Step 3: Cross multiply
    14,783.84x = 20,405.04 × 10,070
  4. Step 4: Simplify right side
    14,783.84x = 205,478,752.80
  5. Step 5: Solve for x
    x = 205,478,752.80/14,783.84
  6. Step 6: Final answer
    x = 13,898.88

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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.