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Finding the Fourth Proportional to 14,070.76, 19,417.41 and 7,783.14

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Solution

The fourth proportional to 14,070.76, 19,417.41 and 7,783.14 is: 10,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.76 : 19,417.41 = 7,783.14 : x
  2. Step 2: Convert to fraction form
    14,070.76/19,417.41 = 7,783.14/x
  3. Step 3: Cross multiply
    14,070.76x = 19,417.41 × 7,783.14
  4. Step 4: Simplify right side
    14,070.76x = 151,128,420.47
  5. Step 5: Solve for x
    x = 151,128,420.47/14,070.76
  6. Step 6: Final answer
    x = 10,740.60

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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.