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Finding the Fourth Proportional to 25,587, 35,313.30 and 14,409

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Solution

The fourth proportional to 25,587, 35,313.30 and 14,409 is: 19,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587 : 35,313.30 = 14,409 : x
  2. Step 2: Convert to fraction form
    25,587/35,313.30 = 14,409/x
  3. Step 3: Cross multiply
    25,587x = 35,313.30 × 14,409
  4. Step 4: Simplify right side
    25,587x = 508,829,339.70
  5. Step 5: Solve for x
    x = 508,829,339.70/25,587
  6. Step 6: Final answer
    x = 19,886.24

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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.