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Finding the Fourth Proportional to 12,569.40, 18,875.70 and 8,897.40

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Solution

The fourth proportional to 12,569.40, 18,875.70 and 8,897.40 is: 13,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.40 : 18,875.70 = 8,897.40 : x
  2. Step 2: Convert to fraction form
    12,569.40/18,875.70 = 8,897.40/x
  3. Step 3: Cross multiply
    12,569.40x = 18,875.70 × 8,897.40
  4. Step 4: Simplify right side
    12,569.40x = 167,944,653.18
  5. Step 5: Solve for x
    x = 167,944,653.18/12,569.40
  6. Step 6: Final answer
    x = 13,361.39

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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.