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Finding the Fourth Proportional to 25,866.24, 35,695.20 and 14,688

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Solution

The fourth proportional to 25,866.24, 35,695.20 and 14,688 is: 20,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.24 : 35,695.20 = 14,688 : x
  2. Step 2: Convert to fraction form
    25,866.24/35,695.20 = 14,688/x
  3. Step 3: Cross multiply
    25,866.24x = 35,695.20 × 14,688
  4. Step 4: Simplify right side
    25,866.24x = 524,291,097.60
  5. Step 5: Solve for x
    x = 524,291,097.60/25,866.24
  6. Step 6: Final answer
    x = 20,269.32

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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.