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Finding the Fourth Proportional to 21,416.22, 29,547.05 and 12,915.14

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Solution

The fourth proportional to 21,416.22, 29,547.05 and 12,915.14 is: 17,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.22 : 29,547.05 = 12,915.14 : x
  2. Step 2: Convert to fraction form
    21,416.22/29,547.05 = 12,915.14/x
  3. Step 3: Cross multiply
    21,416.22x = 29,547.05 × 12,915.14
  4. Step 4: Simplify right side
    21,416.22x = 381,604,075.03
  5. Step 5: Solve for x
    x = 381,604,075.03/21,416.22
  6. Step 6: Final answer
    x = 17,818.46

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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.