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Finding the Fourth Proportional to 25,567.50, 35,283.42 and 14,389.50

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Solution

The fourth proportional to 25,567.50, 35,283.42 and 14,389.50 is: 19,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,567.50 : 35,283.42 = 14,389.50 : x
  2. Step 2: Convert to fraction form
    25,567.50/35,283.42 = 14,389.50/x
  3. Step 3: Cross multiply
    25,567.50x = 35,283.42 × 14,389.50
  4. Step 4: Simplify right side
    25,567.50x = 507,710,772.09
  5. Step 5: Solve for x
    x = 507,710,772.09/25,567.50
  6. Step 6: Final answer
    x = 19,857.66

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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.