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Finding the Fourth Proportional to 14,156.88, 19,536.50 and 7,783.58

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Solution

The fourth proportional to 14,156.88, 19,536.50 and 7,783.58 is: 10,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.88 : 19,536.50 = 7,783.58 : x
  2. Step 2: Convert to fraction form
    14,156.88/19,536.50 = 7,783.58/x
  3. Step 3: Cross multiply
    14,156.88x = 19,536.50 × 7,783.58
  4. Step 4: Simplify right side
    14,156.88x = 152,063,887.39
  5. Step 5: Solve for x
    x = 152,063,887.39/14,156.88
  6. Step 6: Final answer
    x = 10,741.34

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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.