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Finding the Fourth Proportional to 14,157.12, 19,537.05 and 7,783.98

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Solution

The fourth proportional to 14,157.12, 19,537.05 and 7,783.98 is: 10,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.12 : 19,537.05 = 7,783.98 : x
  2. Step 2: Convert to fraction form
    14,157.12/19,537.05 = 7,783.98/x
  3. Step 3: Cross multiply
    14,157.12x = 19,537.05 × 7,783.98
  4. Step 4: Simplify right side
    14,157.12x = 152,076,061.55
  5. Step 5: Solve for x
    x = 152,076,061.55/14,157.12
  6. Step 6: Final answer
    x = 10,742.02

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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.