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Finding the Fourth Proportional to 12,946.90, 17,868.49 and 7,570.98

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Solution

The fourth proportional to 12,946.90, 17,868.49 and 7,570.98 is: 10,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.90 : 17,868.49 = 7,570.98 : x
  2. Step 2: Convert to fraction form
    12,946.90/17,868.49 = 7,570.98/x
  3. Step 3: Cross multiply
    12,946.90x = 17,868.49 × 7,570.98
  4. Step 4: Simplify right side
    12,946.90x = 135,281,980.42
  5. Step 5: Solve for x
    x = 135,281,980.42/12,946.90
  6. Step 6: Final answer
    x = 10,448.99

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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.