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Finding the Fourth Proportional to 25,643.78, 35,386.98 and 14,314.01

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Solution

The fourth proportional to 25,643.78, 35,386.98 and 14,314.01 is: 19,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.78 : 35,386.98 = 14,314.01 : x
  2. Step 2: Convert to fraction form
    25,643.78/35,386.98 = 14,314.01/x
  3. Step 3: Cross multiply
    25,643.78x = 35,386.98 × 14,314.01
  4. Step 4: Simplify right side
    25,643.78x = 506,529,461.34
  5. Step 5: Solve for x
    x = 506,529,461.34/25,643.78
  6. Step 6: Final answer
    x = 19,752.53

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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.