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Finding the Fourth Proportional to 14,070.42, 19,416.94 and 7,782.80

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Solution

The fourth proportional to 14,070.42, 19,416.94 and 7,782.80 is: 10,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.42 : 19,416.94 = 7,782.80 : x
  2. Step 2: Convert to fraction form
    14,070.42/19,416.94 = 7,782.80/x
  3. Step 3: Cross multiply
    14,070.42x = 19,416.94 × 7,782.80
  4. Step 4: Simplify right side
    14,070.42x = 151,118,160.63
  5. Step 5: Solve for x
    x = 151,118,160.63/14,070.42
  6. Step 6: Final answer
    x = 10,740.13

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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.