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Finding the Fourth Proportional to 14,643.76, 21,971.40 and 6,430

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Solution

The fourth proportional to 14,643.76, 21,971.40 and 6,430 is: 9,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.76 : 21,971.40 = 6,430 : x
  2. Step 2: Convert to fraction form
    14,643.76/21,971.40 = 6,430/x
  3. Step 3: Cross multiply
    14,643.76x = 21,971.40 × 6,430
  4. Step 4: Simplify right side
    14,643.76x = 141,276,102
  5. Step 5: Solve for x
    x = 141,276,102/14,643.76
  6. Step 6: Final answer
    x = 9,647.53

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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.