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Finding the Fourth Proportional to 21,038.40, 29,036.16 and 12,656.64

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Solution

The fourth proportional to 21,038.40, 29,036.16 and 12,656.64 is: 17,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.40 : 29,036.16 = 12,656.64 : x
  2. Step 2: Convert to fraction form
    21,038.40/29,036.16 = 12,656.64/x
  3. Step 3: Cross multiply
    21,038.40x = 29,036.16 × 12,656.64
  4. Step 4: Simplify right side
    21,038.40x = 367,500,224.10
  5. Step 5: Solve for x
    x = 367,500,224.10/21,038.40
  6. Step 6: Final answer
    x = 17,468.07

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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.