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Finding the Fourth Proportional to 15,570.98, 23,345.16 and 6,208.19

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Solution

The fourth proportional to 15,570.98, 23,345.16 and 6,208.19 is: 9,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,570.98 : 23,345.16 = 6,208.19 : x
  2. Step 2: Convert to fraction form
    15,570.98/23,345.16 = 6,208.19/x
  3. Step 3: Cross multiply
    15,570.98x = 23,345.16 × 6,208.19
  4. Step 4: Simplify right side
    15,570.98x = 144,931,247.22
  5. Step 5: Solve for x
    x = 144,931,247.22/15,570.98
  6. Step 6: Final answer
    x = 9,307.78

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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.