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Finding the Fourth Proportional to 13,050, 19,577.88 and 4,842

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Solution

The fourth proportional to 13,050, 19,577.88 and 4,842 is: 7,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 19,577.88 = 4,842 : x
  2. Step 2: Convert to fraction form
    13,050/19,577.88 = 4,842/x
  3. Step 3: Cross multiply
    13,050x = 19,577.88 × 4,842
  4. Step 4: Simplify right side
    13,050x = 94,796,094.96
  5. Step 5: Solve for x
    x = 94,796,094.96/13,050
  6. Step 6: Final answer
    x = 7,264.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.