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Finding the Fourth Proportional to 12,565.70, 17,339.47 and 7,528.98

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Solution

The fourth proportional to 12,565.70, 17,339.47 and 7,528.98 is: 10,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.70 : 17,339.47 = 7,528.98 : x
  2. Step 2: Convert to fraction form
    12,565.70/17,339.47 = 7,528.98/x
  3. Step 3: Cross multiply
    12,565.70x = 17,339.47 × 7,528.98
  4. Step 4: Simplify right side
    12,565.70x = 130,548,504.02
  5. Step 5: Solve for x
    x = 130,548,504.02/12,565.70
  6. Step 6: Final answer
    x = 10,389.28

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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.