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Finding the Fourth Proportional to 14,070.72, 19,416.70 and 7,783.08

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Solution

The fourth proportional to 14,070.72, 19,416.70 and 7,783.08 is: 10,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.72 : 19,416.70 = 7,783.08 : x
  2. Step 2: Convert to fraction form
    14,070.72/19,416.70 = 7,783.08/x
  3. Step 3: Cross multiply
    14,070.72x = 19,416.70 × 7,783.08
  4. Step 4: Simplify right side
    14,070.72x = 151,121,729.44
  5. Step 5: Solve for x
    x = 151,121,729.44/14,070.72
  6. Step 6: Final answer
    x = 10,740.16

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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.