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Finding the Fourth Proportional to 14,068.30, 19,412.84 and 7,780.28

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Solution

The fourth proportional to 14,068.30, 19,412.84 and 7,780.28 is: 10,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.30 : 19,412.84 = 7,780.28 : x
  2. Step 2: Convert to fraction form
    14,068.30/19,412.84 = 7,780.28/x
  3. Step 3: Cross multiply
    14,068.30x = 19,412.84 × 7,780.28
  4. Step 4: Simplify right side
    14,068.30x = 151,037,330.80
  5. Step 5: Solve for x
    x = 151,037,330.80/14,068.30
  6. Step 6: Final answer
    x = 10,736.00

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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.