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Finding the Fourth Proportional to 13,774.40, 19,008.14 and 7,807.32

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Solution

The fourth proportional to 13,774.40, 19,008.14 and 7,807.32 is: 10,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.40 : 19,008.14 = 7,807.32 : x
  2. Step 2: Convert to fraction form
    13,774.40/19,008.14 = 7,807.32/x
  3. Step 3: Cross multiply
    13,774.40x = 19,008.14 × 7,807.32
  4. Step 4: Simplify right side
    13,774.40x = 148,402,631.58
  5. Step 5: Solve for x
    x = 148,402,631.58/13,774.40
  6. Step 6: Final answer
    x = 10,773.80

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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.