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Finding the Fourth Proportional to 12,870.78, 19,307.70 and 4,549.08

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Solution

The fourth proportional to 12,870.78, 19,307.70 and 4,549.08 is: 6,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.78 : 19,307.70 = 4,549.08 : x
  2. Step 2: Convert to fraction form
    12,870.78/19,307.70 = 4,549.08/x
  3. Step 3: Cross multiply
    12,870.78x = 19,307.70 × 4,549.08
  4. Step 4: Simplify right side
    12,870.78x = 87,832,271.92
  5. Step 5: Solve for x
    x = 87,832,271.92/12,870.78
  6. Step 6: Final answer
    x = 6,824.16

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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.