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Finding the Fourth Proportional to 12,953.36, 19,425.96 and 8,594

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Solution

The fourth proportional to 12,953.36, 19,425.96 and 8,594 is: 12,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.36 : 19,425.96 = 8,594 : x
  2. Step 2: Convert to fraction form
    12,953.36/19,425.96 = 8,594/x
  3. Step 3: Cross multiply
    12,953.36x = 19,425.96 × 8,594
  4. Step 4: Simplify right side
    12,953.36x = 166,946,700.24
  5. Step 5: Solve for x
    x = 166,946,700.24/12,953.36
  6. Step 6: Final answer
    x = 12,888.29

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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.